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Simplificación de expresiones/ Descomposición en fracciones simples/ sqrt(3)*(192*sin(8*x)+6*(3*sin(8*x)+16*x*cos(8*x))/x^2+1024*x*cos(8*x)+(3*sin(8*x)^2-576*x^2*sin(8*x)^2+576*x^2*cos(8*x)^2-2048*x^3*cos(8*x)*sin(8*x)+144*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x))-6*(3*sin(8*x)^2-64*x^2*sin(8*x)^2+64*x^2*cos(8*x)^2+48*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x))+192*cos(8*x)^2*(3*sin(8*x)+16*x*cos(8*x))/sin(8*x)^2-32*(3*sin(8*x)^2-64*x^2*sin(8*x)^2+64*x^2*cos(8*x)^2+48*x*cos(8*x)*sin(8*x))*cos(8*x)/(x*sin(8*x)^2)+48*(3*sin(8*x)+16*x*cos(8*x))*cos(8*x)/(x*sin(8*x))+3*(3*sin(8*x)+16*x*cos(8*x))^3/(8*x^2*log(x^3*sin(8*x)^2)^2*sin(8*x)^2)+9*(3*sin(8*x)+16*x*cos(8*x))^2/(4*x^2*log(x^3*sin(8*x)^2)*sin(8*x))+12*(3*sin(8*x)+16*x*cos(8*x))^2*cos(8*x)/(x*log(x^3*sin(8*x)^2)*sin(8*x)^2)-3*(3*sin(8*x)+16*x*cos(8*x))*(3*sin(8*x)^2-64*x^2*sin(8*x)^2+64*x^2*cos(8*x)^2+48*x*cos(8*x)*sin(8*x))/(2*x^2*log(x^3*sin(8*x)^2)*sin(8*x)^2))/(x*sqrt(log(x^3*sin(8*x)^2))*sin(8*x))

¿Cómo vas a descomponer esta sqrt(3)*(192*sin(8*x)+6*(3*sin(8*x)+16*x*cos(8*x))/x^2+1024*x*cos(8*x)+(3*sin(8*x)^2-576*x^2*sin(8*x)^2+576*x^2*cos(8*x)^2-2048*x^3*cos(8*x)*sin(8*x)+144*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x))-6*(3*sin(8*x)^2-64*x^2*sin(8*x)^2+64*x^2*cos(8*x)^2+48*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x))+192*cos(8*x)^2*(3*sin(8*x)+16*x*cos(8*x))/sin(8*x)^2-32*(3*sin(8*x)^2-64*x^2*sin(8*x)^2+64*x^2*cos(8*x)^2+48*x*cos(8*x)*sin(8*x))*cos(8*x)/(x*sin(8*x)^2)+48*(3*sin(8*x)+16*x*cos(8*x))*cos(8*x)/(x*sin(8*x))+3*(3*sin(8*x)+16*x*cos(8*x))^3/(8*x^2*log(x^3*sin(8*x)^2)^2*sin(8*x)^2)+9*(3*sin(8*x)+16*x*cos(8*x))^2/(4*x^2*log(x^3*sin(8*x)^2)*sin(8*x))+12*(3*sin(8*x)+16*x*cos(8*x))^2*cos(8*x)/(x*log(x^3*sin(8*x)^2)*sin(8*x)^2)-3*(3*sin(8*x)+16*x*cos(8*x))*(3*sin(8*x)^2-64*x^2*sin(8*x)^2+64*x^2*cos(8*x)^2+48*x*cos(8*x)*sin(8*x))/(2*x^2*log(x^3*sin(8*x)^2)*sin(8*x)^2))/(x*sqrt(log(x^3*sin(8*x)^2))*sin(8*x)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
      /                                                                       2             2    2             2    2              3                                                 /     2            2    2            2    2                              \          2                                        /     2            2    2            2    2                              \                                                                                      3                                  2                                  2                                           /     2            2    2            2    2                              \\
  ___ |               6*(3*sin(8*x) + 16*x*cos(8*x))                     3*sin (8*x) - 576*x *sin (8*x) + 576*x *cos (8*x) - 2048*x *cos(8*x)*sin(8*x) + 144*x*cos(8*x)*sin(8*x)   6*\3*sin (8*x) - 64*x *sin (8*x) + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/   192*cos (8*x)*(3*sin(8*x) + 16*x*cos(8*x))   32*\3*sin (8*x) - 64*x *sin (8*x) + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/*cos(8*x)   48*(3*sin(8*x) + 16*x*cos(8*x))*cos(8*x)    3*(3*sin(8*x) + 16*x*cos(8*x))     9*(3*sin(8*x) + 16*x*cos(8*x))    12*(3*sin(8*x) + 16*x*cos(8*x)) *cos(8*x)   3*(3*sin(8*x) + 16*x*cos(8*x))*\3*sin (8*x) - 64*x *sin (8*x) + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/|
\/ 3 *|192*sin(8*x) + ------------------------------ + 1024*x*cos(8*x) + ------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------- + ------------------------------------------ - -------------------------------------------------------------------------------------- + ---------------------------------------- + --------------------------------- + ------------------------------- + ----------------------------------------- - ---------------------------------------------------------------------------------------------------------|
      |                              2                                                                                  2                                                                                           2                                                                2                                                                   2                                                             x*sin(8*x)                     2    2/ 3    2     \    2           2    / 3    2     \                       / 3    2     \    2                                                      2    / 3    2     \    2                                         |
      \                             x                                                                                  x *sin(8*x)                                                                                 x *sin(8*x)                                                    sin (8*x)                                                         x*sin (8*x)                                                                                    8*x *log \x *sin (8*x)/*sin (8*x)   4*x *log\x *sin (8*x)/*sin(8*x)         x*log\x *sin (8*x)/*sin (8*x)                                              2*x *log\x *sin (8*x)/*sin (8*x)                                    /
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                                                                                                                                                                                                                                                                                                                       x*\/  log\x *sin (8*x)/ *sin(8*x)
3((((((((16xcos⁡(8x)+3sin⁡(8x))192cos⁡2(8x)sin⁡2(8x)+(((1024xcos⁡(8x)+(192sin⁡(8x)+6(16xcos⁡(8x)+3sin⁡(8x))x2))+144xcos⁡(8x)sin⁡(8x)+(−2048x3cos⁡(8x)sin⁡(8x)+(576x2cos⁡2(8x)+(−576x2sin⁡2(8x)+3sin⁡2(8x))))x2sin⁡(8x))−6(48xcos⁡(8x)sin⁡(8x)+(64x2cos⁡2(8x)+(−64x2sin⁡2(8x)+3sin⁡2(8x))))x2sin⁡(8x)))−32(48xcos⁡(8x)sin⁡(8x)+(64x2cos⁡2(8x)+(−64x2sin⁡2(8x)+3sin⁡2(8x))))cos⁡(8x)xsin⁡2(8x))+48(16xcos⁡(8x)+3sin⁡(8x))cos⁡(8x)xsin⁡(8x))+3(16xcos⁡(8x)+3sin⁡(8x))38x2log⁡(x3sin⁡2(8x))2sin⁡2(8x))+9(16xcos⁡(8x)+3sin⁡(8x))24x2log⁡(x3sin⁡2(8x))sin⁡(8x))+12(16xcos⁡(8x)+3sin⁡(8x))2cos⁡(8x)xlog⁡(x3sin⁡2(8x))sin⁡2(8x))−3(16xcos⁡(8x)+3sin⁡(8x))(48xcos⁡(8x)sin⁡(8x)+(64x2cos⁡2(8x)+(−64x2sin⁡2(8x)+3sin⁡2(8x))))2x2log⁡(x3sin⁡2(8x))sin⁡2(8x))xlog⁡(x3sin⁡2(8x))sin⁡(8x)\frac{\sqrt{3} \left(\left(\left(\left(\left(\left(\left(\frac{\left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) 192 \cos^{2}{\left(8 x \right)}}{\sin^{2}{\left(8 x \right)}} + \left(\left(\left(1024 x \cos{\left(8 x \right)} + \left(192 \sin{\left(8 x \right)} + \frac{6 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)}{x^{2}}\right)\right) + \frac{144 x \cos{\left(8 x \right)} \sin{\left(8 x \right)} + \left(- 2048 x^{3} \cos{\left(8 x \right)} \sin{\left(8 x \right)} + \left(576 x^{2} \cos^{2}{\left(8 x \right)} + \left(- 576 x^{2} \sin^{2}{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)\right)\right)}{x^{2} \sin{\left(8 x \right)}}\right) - \frac{6 \left(48 x \cos{\left(8 x \right)} \sin{\left(8 x \right)} + \left(64 x^{2} \cos^{2}{\left(8 x \right)} + \left(- 64 x^{2} \sin^{2}{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)\right)\right)}{x^{2} \sin{\left(8 x \right)}}\right)\right) - \frac{32 \left(48 x \cos{\left(8 x \right)} \sin{\left(8 x \right)} + \left(64 x^{2} \cos^{2}{\left(8 x \right)} + \left(- 64 x^{2} \sin^{2}{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)\right)\right) \cos{\left(8 x \right)}}{x \sin^{2}{\left(8 x \right)}}\right) + \frac{48 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin{\left(8 x \right)}}\right) + \frac{3 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{3}}{8 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)}}\right) + \frac{9 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2}}{4 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)}}\right) + \frac{12 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2} \cos{\left(8 x \right)}}{x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}}\right) - \frac{3 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \left(48 x \cos{\left(8 x \right)} \sin{\left(8 x \right)} + \left(64 x^{2} \cos^{2}{\left(8 x \right)} + \left(- 64 x^{2} \sin^{2}{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)\right)\right)}{2 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}}\right)}{x \sqrt{\log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}} \sin{\left(8 x \right)}} 
(sqrt(3)*(192*sin(8*x) + (6*(3*sin(8*x) + (16*x)*cos(8*x)))/x^2 + (1024*x)*cos(8*x) + (3*sin(8*x)^2 - 576*x^2*sin(8*x)^2 + (576*x^2)*cos(8*x)^2 - (2048*x^3)*cos(8*x)*sin(8*x) + ((144*x)*cos(8*x))*sin(8*x))/((x^2*sin(8*x))) - 6*(3*sin(8*x)^2 - 64*x^2*sin(8*x)^2 + (64*x^2)*cos(8*x)^2 + ((48*x)*cos(8*x))*sin(8*x))/(x^2*sin(8*x)) + ((192*cos(8*x)^2)*(3*sin(8*x) + (16*x)*cos(8*x)))/sin(8*x)^2 - (32*(3*sin(8*x)^2 - 64*x^2*sin(8*x)^2 + (64*x^2)*cos(8*x)^2 + ((48*x)*cos(8*x))*sin(8*x)))*cos(8*x)/(x*sin(8*x)^2) + ((48*(3*sin(8*x) + (16*x)*cos(8*x)))*cos(8*x))/((x*sin(8*x))) + (3*(3*sin(8*x) + (16*x)*cos(8*x))^3)/((((8*x^2)*log(x^3*sin(8*x)^2)^2)*sin(8*x)^2)) + (9*(3*sin(8*x) + (16*x)*cos(8*x))^2)/((((4*x^2)*log(x^3*sin(8*x)^2))*sin(8*x))) + ((12*(3*sin(8*x) + (16*x)*cos(8*x))^2)*cos(8*x))/(((x*log(x^3*sin(8*x)^2))*sin(8*x)^2)) - (3*(3*sin(8*x) + (16*x)*cos(8*x)))*(3*sin(8*x)^2 - 64*x^2*sin(8*x)^2 + (64*x^2)*cos(8*x)^2 + ((48*x)*cos(8*x))*sin(8*x))/(((2*x^2)*log(x^3*sin(8*x)^2))*sin(8*x)^2)))/(((x*sqrt(log(x^3*sin(8*x)^2)))*sin(8*x)))
Simplificación general [src] 
  ___ /      3              2/ 3    2     \    3              3         / 3    2     \          3    3                  2                       2    3         / 3    2     \         2    2                       3    3         2/ 3    2     \          3    3         / 3    2     \            2                  / 3    2     \         2    2         / 3    2     \                  3    2/ 3    2     \    2                        3    2                  / 3    2     \\
\/ 3 *\81*sin (8*x) + 24*log \x *sin (8*x)/*sin (8*x) + 54*sin (8*x)*log\x *sin (8*x)/ + 12288*x *cos (8*x) + 1296*x*sin (8*x)*cos(8*x) + 2304*x *sin (8*x)*log\x *sin (8*x)/ + 6912*x *cos (8*x)*sin(8*x) + 8192*x *cos (8*x)*log \x *sin (8*x)/ + 12288*x *cos (8*x)*log\x *sin (8*x)/ + 288*x*sin (8*x)*cos(8*x)*log\x *sin (8*x)/ + 2304*x *cos (8*x)*log\x *sin (8*x)/*sin(8*x) + 8192*x *log \x *sin (8*x)/*sin (8*x)*cos(8*x) + 12288*x *sin (8*x)*cos(8*x)*log\x *sin (8*x)//
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                                                                                                                                                                                                                         8*x *log   \x *sin (8*x)/*sin (8*x)
3(8192x3log⁡(x3sin⁡2(8x))2sin⁡2(8x)cos⁡(8x)+8192x3log⁡(x3sin⁡2(8x))2cos⁡3(8x)+12288x3log⁡(x3sin⁡2(8x))sin⁡2(8x)cos⁡(8x)+12288x3log⁡(x3sin⁡2(8x))cos⁡3(8x)+12288x3cos⁡3(8x)+2304x2log⁡(x3sin⁡2(8x))sin⁡3(8x)+2304x2log⁡(x3sin⁡2(8x))sin⁡(8x)cos⁡2(8x)+6912x2sin⁡(8x)cos⁡2(8x)+288xlog⁡(x3sin⁡2(8x))sin⁡2(8x)cos⁡(8x)+1296xsin⁡2(8x)cos⁡(8x)+24log⁡(x3sin⁡2(8x))2sin⁡3(8x)+54log⁡(x3sin⁡2(8x))sin⁡3(8x)+81sin⁡3(8x))8x3log⁡(x3sin⁡2(8x))52sin⁡3(8x)\frac{\sqrt{3} \left(8192 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 8192 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \cos^{3}{\left(8 x \right)} + 12288 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 12288 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \cos^{3}{\left(8 x \right)} + 12288 x^{3} \cos^{3}{\left(8 x \right)} + 2304 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{3}{\left(8 x \right)} + 2304 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)} \cos^{2}{\left(8 x \right)} + 6912 x^{2} \sin{\left(8 x \right)} \cos^{2}{\left(8 x \right)} + 288 x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 1296 x \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 24 \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{3}{\left(8 x \right)} + 54 \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{3}{\left(8 x \right)} + 81 \sin^{3}{\left(8 x \right)}\right)}{8 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{\frac{5}{2}} \sin^{3}{\left(8 x \right)}} 
sqrt(3)*(81*sin(8*x)^3 + 24*log(x^3*sin(8*x)^2)^2*sin(8*x)^3 + 54*sin(8*x)^3*log(x^3*sin(8*x)^2) + 12288*x^3*cos(8*x)^3 + 1296*x*sin(8*x)^2*cos(8*x) + 2304*x^2*sin(8*x)^3*log(x^3*sin(8*x)^2) + 6912*x^2*cos(8*x)^2*sin(8*x) + 8192*x^3*cos(8*x)^3*log(x^3*sin(8*x)^2)^2 + 12288*x^3*cos(8*x)^3*log(x^3*sin(8*x)^2) + 288*x*sin(8*x)^2*cos(8*x)*log(x^3*sin(8*x)^2) + 2304*x^2*cos(8*x)^2*log(x^3*sin(8*x)^2)*sin(8*x) + 8192*x^3*log(x^3*sin(8*x)^2)^2*sin(8*x)^2*cos(8*x) + 12288*x^3*sin(8*x)^2*cos(8*x)*log(x^3*sin(8*x)^2))/(8*x^3*log(x^3*sin(8*x)^2)^(5/2)*sin(8*x)^3)
Respuesta numérica [src] 
log(x^3*sin(8*x)^2)^(-0.5)*(332.553755053224*sin(8*x) + 1.73205080756888*(18.0*sin(8*x) + 96.0*x*cos(8*x))/x^2 + 1773.62002695053*x*cos(8*x) + 332.553755053224*cos(8*x)^2*(3.0*sin(8*x) + 16.0*x*cos(8*x))/sin(8*x)^2 + 1.73205080756888*(3.0*sin(8*x)^2 + 576.0*x^2*cos(8*x)^2 - 576.0*x^2*sin(8*x)^2 + 144.0*x*cos(8*x)*sin(8*x) - 2048.0*x^3*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) - 1.73205080756888*(18.0*sin(8*x)^2 + 384.0*x^2*cos(8*x)^2 - 384.0*x^2*sin(8*x)^2 + 288.0*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) + 2660.4300404258*(0.1875*sin(8*x) + x*cos(8*x))^3/(x^2*log(x^3*sin(8*x)^2)^2*sin(8*x)^2) + 1.73205080756888*(144.0*sin(8*x) + 768.0*x*cos(8*x))*cos(8*x)/(x*sin(8*x)) + 997.661265159673*(0.1875*sin(8*x) + x*cos(8*x))^2/(x^2*log(x^3*sin(8*x)^2)*sin(8*x)) - 1.73205080756888*(96.0*sin(8*x)^2 + 2048.0*x^2*cos(8*x)^2 - 2048.0*x^2*sin(8*x)^2 + 1536.0*x*cos(8*x)*sin(8*x))*cos(8*x)/(x*sin(8*x)^2) + 5320.86008085159*(0.1875*sin(8*x) + x*cos(8*x))^2*cos(8*x)/(x*log(x^3*sin(8*x)^2)*sin(8*x)^2) - 0.866025403784439*(9.0*sin(8*x) + 48.0*x*cos(8*x))*(3.0*sin(8*x)^2 + 64.0*x^2*cos(8*x)^2 - 64.0*x^2*sin(8*x)^2 + 48.0*x*cos(8*x)*sin(8*x))/(x^2*log(x^3*sin(8*x)^2)*sin(8*x)^2))/(x*sin(8*x))
log(x^3*sin(8*x)^2)^(-0.5)*(332.553755053224*sin(8*x) + 1.73205080756888*(18.0*sin(8*x) + 96.0*x*cos(8*x))/x^2 + 1773.62002695053*x*cos(8*x) + 332.553755053224*cos(8*x)^2*(3.0*sin(8*x) + 16.0*x*cos(8*x))/sin(8*x)^2 + 1.73205080756888*(3.0*sin(8*x)^2 + 576.0*x^2*cos(8*x)^2 - 576.0*x^2*sin(8*x)^2 + 144.0*x*cos(8*x)*sin(8*x) - 2048.0*x^3*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) - 1.73205080756888*(18.0*sin(8*x)^2 + 384.0*x^2*cos(8*x)^2 - 384.0*x^2*sin(8*x)^2 + 288.0*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) + 2660.4300404258*(0.1875*sin(8*x) + x*cos(8*x))^3/(x^2*log(x^3*sin(8*x)^2)^2*sin(8*x)^2) + 1.73205080756888*(144.0*sin(8*x) + 768.0*x*cos(8*x))*cos(8*x)/(x*sin(8*x)) + 997.661265159673*(0.1875*sin(8*x) + x*cos(8*x))^2/(x^2*log(x^3*sin(8*x)^2)*sin(8*x)) - 1.73205080756888*(96.0*sin(8*x)^2 + 2048.0*x^2*cos(8*x)^2 - 2048.0*x^2*sin(8*x)^2 + 1536.0*x*cos(8*x)*sin(8*x))*cos(8*x)/(x*sin(8*x)^2) + 5320.86008085159*(0.1875*sin(8*x) + x*cos(8*x))^2*cos(8*x)/(x*log(x^3*sin(8*x)^2)*sin(8*x)^2) - 0.866025403784439*(9.0*sin(8*x) + 48.0*x*cos(8*x))*(3.0*sin(8*x)^2 + 64.0*x^2*cos(8*x)^2 - 64.0*x^2*sin(8*x)^2 + 48.0*x*cos(8*x)*sin(8*x))/(x^2*log(x^3*sin(8*x)^2)*sin(8*x)^2))/(x*sin(8*x))
Combinatoria [src] 
  ___ /      3              2/ 3    2     \    3              3         / 3    2     \          3    3                  2                       2    3         / 3    2     \         2    2                       3    3         2/ 3    2     \          3    3         / 3    2     \            2                  / 3    2     \         2    2         / 3    2     \                  3    2/ 3    2     \    2                        3    2                  / 3    2     \\
\/ 3 *\81*sin (8*x) + 24*log \x *sin (8*x)/*sin (8*x) + 54*sin (8*x)*log\x *sin (8*x)/ + 12288*x *cos (8*x) + 1296*x*sin (8*x)*cos(8*x) + 2304*x *sin (8*x)*log\x *sin (8*x)/ + 6912*x *cos (8*x)*sin(8*x) + 8192*x *cos (8*x)*log \x *sin (8*x)/ + 12288*x *cos (8*x)*log\x *sin (8*x)/ + 288*x*sin (8*x)*cos(8*x)*log\x *sin (8*x)/ + 2304*x *cos (8*x)*log\x *sin (8*x)/*sin(8*x) + 8192*x *log \x *sin (8*x)/*sin (8*x)*cos(8*x) + 12288*x *sin (8*x)*cos(8*x)*log\x *sin (8*x)//
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                                                                                                                                                                                                                            3    5/2/ 3    2     \    3                                                                                                                                                                                                                              
                                                                                                                                                                                                                         8*x *log   \x *sin (8*x)/*sin (8*x)
3(8192x3log⁡(x3sin⁡2(8x))2sin⁡2(8x)cos⁡(8x)+8192x3log⁡(x3sin⁡2(8x))2cos⁡3(8x)+12288x3log⁡(x3sin⁡2(8x))sin⁡2(8x)cos⁡(8x)+12288x3log⁡(x3sin⁡2(8x))cos⁡3(8x)+12288x3cos⁡3(8x)+2304x2log⁡(x3sin⁡2(8x))sin⁡3(8x)+2304x2log⁡(x3sin⁡2(8x))sin⁡(8x)cos⁡2(8x)+6912x2sin⁡(8x)cos⁡2(8x)+288xlog⁡(x3sin⁡2(8x))sin⁡2(8x)cos⁡(8x)+1296xsin⁡2(8x)cos⁡(8x)+24log⁡(x3sin⁡2(8x))2sin⁡3(8x)+54log⁡(x3sin⁡2(8x))sin⁡3(8x)+81sin⁡3(8x))8x3log⁡(x3sin⁡2(8x))52sin⁡3(8x)\frac{\sqrt{3} \left(8192 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 8192 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \cos^{3}{\left(8 x \right)} + 12288 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 12288 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \cos^{3}{\left(8 x \right)} + 12288 x^{3} \cos^{3}{\left(8 x \right)} + 2304 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{3}{\left(8 x \right)} + 2304 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)} \cos^{2}{\left(8 x \right)} + 6912 x^{2} \sin{\left(8 x \right)} \cos^{2}{\left(8 x \right)} + 288 x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 1296 x \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 24 \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{3}{\left(8 x \right)} + 54 \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{3}{\left(8 x \right)} + 81 \sin^{3}{\left(8 x \right)}\right)}{8 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{\frac{5}{2}} \sin^{3}{\left(8 x \right)}} 
sqrt(3)*(81*sin(8*x)^3 + 24*log(x^3*sin(8*x)^2)^2*sin(8*x)^3 + 54*sin(8*x)^3*log(x^3*sin(8*x)^2) + 12288*x^3*cos(8*x)^3 + 1296*x*sin(8*x)^2*cos(8*x) + 2304*x^2*sin(8*x)^3*log(x^3*sin(8*x)^2) + 6912*x^2*cos(8*x)^2*sin(8*x) + 8192*x^3*cos(8*x)^3*log(x^3*sin(8*x)^2)^2 + 12288*x^3*cos(8*x)^3*log(x^3*sin(8*x)^2) + 288*x*sin(8*x)^2*cos(8*x)*log(x^3*sin(8*x)^2) + 2304*x^2*cos(8*x)^2*log(x^3*sin(8*x)^2)*sin(8*x) + 8192*x^3*log(x^3*sin(8*x)^2)^2*sin(8*x)^2*cos(8*x) + 12288*x^3*sin(8*x)^2*cos(8*x)*log(x^3*sin(8*x)^2))/(8*x^3*log(x^3*sin(8*x)^2)^(5/2)*sin(8*x)^3)
Denominador común [src] 
     ___    3             ___    2/ 3    2     \    3             ___    3         / 3    2     \           ___  3    3                 ___    2                        ___  2    3         / 3    2     \          ___  2    2                        ___  3    3         2/ 3    2     \           ___  3    3         / 3    2     \           ___    2                  / 3    2     \          ___  2    2         / 3    2     \                   ___  3    2/ 3    2     \    2                         ___  3    2                  / 3    2     \
81*\/ 3 *sin (8*x) + 24*\/ 3 *log \x *sin (8*x)/*sin (8*x) + 54*\/ 3 *sin (8*x)*log\x *sin (8*x)/ + 12288*\/ 3 *x *cos (8*x) + 1296*x*\/ 3 *sin (8*x)*cos(8*x) + 2304*\/ 3 *x *sin (8*x)*log\x *sin (8*x)/ + 6912*\/ 3 *x *cos (8*x)*sin(8*x) + 8192*\/ 3 *x *cos (8*x)*log \x *sin (8*x)/ + 12288*\/ 3 *x *cos (8*x)*log\x *sin (8*x)/ + 288*x*\/ 3 *sin (8*x)*cos(8*x)*log\x *sin (8*x)/ + 2304*\/ 3 *x *cos (8*x)*log\x *sin (8*x)/*sin(8*x) + 8192*\/ 3 *x *log \x *sin (8*x)/*sin (8*x)*cos(8*x) + 12288*\/ 3 *x *sin (8*x)*cos(8*x)*log\x *sin (8*x)/
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                                                                                                                                                                                                                                                               3    5/2/ 3    2     \    3                                                                                                                                                                                                                                                                 
                                                                                                                                                                                                                                                            8*x *log   \x *sin (8*x)/*sin (8*x)
81923x3log⁡(x3sin⁡2(8x))2sin⁡2(8x)cos⁡(8x)+81923x3log⁡(x3sin⁡2(8x))2cos⁡3(8x)+122883x3log⁡(x3sin⁡2(8x))sin⁡2(8x)cos⁡(8x)+122883x3log⁡(x3sin⁡2(8x))cos⁡3(8x)+122883x3cos⁡3(8x)+23043x2log⁡(x3sin⁡2(8x))sin⁡3(8x)+23043x2log⁡(x3sin⁡2(8x))sin⁡(8x)cos⁡2(8x)+69123x2sin⁡(8x)cos⁡2(8x)+2883xlog⁡(x3sin⁡2(8x))sin⁡2(8x)cos⁡(8x)+12963xsin⁡2(8x)cos⁡(8x)+243log⁡(x3sin⁡2(8x))2sin⁡3(8x)+543log⁡(x3sin⁡2(8x))sin⁡3(8x)+813sin⁡3(8x)8x3log⁡(x3sin⁡2(8x))52sin⁡3(8x)\frac{8192 \sqrt{3} x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 8192 \sqrt{3} x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \cos^{3}{\left(8 x \right)} + 12288 \sqrt{3} x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 12288 \sqrt{3} x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \cos^{3}{\left(8 x \right)} + 12288 \sqrt{3} x^{3} \cos^{3}{\left(8 x \right)} + 2304 \sqrt{3} x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{3}{\left(8 x \right)} + 2304 \sqrt{3} x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)} \cos^{2}{\left(8 x \right)} + 6912 \sqrt{3} x^{2} \sin{\left(8 x \right)} \cos^{2}{\left(8 x \right)} + 288 \sqrt{3} x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 1296 \sqrt{3} x \sin^{2}{\left(8 x \right)} \cos{\left(8 x \right)} + 24 \sqrt{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{3}{\left(8 x \right)} + 54 \sqrt{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{3}{\left(8 x \right)} + 81 \sqrt{3} \sin^{3}{\left(8 x \right)}}{8 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{\frac{5}{2}} \sin^{3}{\left(8 x \right)}} 
(81*sqrt(3)*sin(8*x)^3 + 24*sqrt(3)*log(x^3*sin(8*x)^2)^2*sin(8*x)^3 + 54*sqrt(3)*sin(8*x)^3*log(x^3*sin(8*x)^2) + 12288*sqrt(3)*x^3*cos(8*x)^3 + 1296*x*sqrt(3)*sin(8*x)^2*cos(8*x) + 2304*sqrt(3)*x^2*sin(8*x)^3*log(x^3*sin(8*x)^2) + 6912*sqrt(3)*x^2*cos(8*x)^2*sin(8*x) + 8192*sqrt(3)*x^3*cos(8*x)^3*log(x^3*sin(8*x)^2)^2 + 12288*sqrt(3)*x^3*cos(8*x)^3*log(x^3*sin(8*x)^2) + 288*x*sqrt(3)*sin(8*x)^2*cos(8*x)*log(x^3*sin(8*x)^2) + 2304*sqrt(3)*x^2*cos(8*x)^2*log(x^3*sin(8*x)^2)*sin(8*x) + 8192*sqrt(3)*x^3*log(x^3*sin(8*x)^2)^2*sin(8*x)^2*cos(8*x) + 12288*sqrt(3)*x^3*sin(8*x)^2*cos(8*x)*log(x^3*sin(8*x)^2))/(8*x^3*log(x^3*sin(8*x)^2)^(5/2)*sin(8*x)^3)
Unión de expresiones racionales [src] 
  ___ /                              3        2/ 3    2     \ //       2      /        2\     /                                 2                 3         \                 2      /         2\        2    2              3                                            \                 /   2      /        2\       2    2                              \                 2    2                                                                                        \                                   /   2      /        2\       2    2                              \    / 3    2     \                                  2    / 3    2     \                                             2             / 3    2     \\
\/ 3 *\3*(3*sin(8*x) + 16*x*cos(8*x))  + 8*log \x *sin (8*x)/*\\- 6*sin (8*x)*\3 - 64*x / + 2*\9*sin(8*x) + 48*x*cos(8*x) + 96*x *sin(8*x) + 512*x *cos(8*x)/*sin(8*x) + 3*sin (8*x)*\1 - 192*x / + 192*x *cos (8*x) - 2048*x *cos(8*x)*sin(8*x) - 144*x*cos(8*x)*sin(8*x)/*sin(8*x) - 32*x*\sin (8*x)*\3 - 64*x / + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/*cos(8*x) + 192*x *cos (8*x)*(3*sin(8*x) + 16*x*cos(8*x)) + 48*x*(3*sin(8*x) + 16*x*cos(8*x))*cos(8*x)*sin(8*x)/ - 12*(3*sin(8*x) + 16*x*cos(8*x))*\sin (8*x)*\3 - 64*x / + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/*log\x *sin (8*x)/ + 18*(3*sin(8*x) + 16*x*cos(8*x)) *log\x *sin (8*x)/*sin(8*x) + 96*x*(3*sin(8*x) + 16*x*cos(8*x)) *cos(8*x)*log\x *sin (8*x)//
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                                                                                                                                                                                                                                                                                                                                                   3    5/2/ 3    2     \    3                                                                                                                                                                                                                                                                                                                                                      
                                                                                                                                                                                                                                                                                                                                                8*x *log   \x *sin (8*x)/*sin (8*x)
3(96x(16xcos⁡(8x)+3sin⁡(8x))2log⁡(x3sin⁡2(8x))cos⁡(8x)+3(16xcos⁡(8x)+3sin⁡(8x))3+18(16xcos⁡(8x)+3sin⁡(8x))2log⁡(x3sin⁡2(8x))sin⁡(8x)−12(16xcos⁡(8x)+3sin⁡(8x))(64x2cos⁡2(8x)+48xsin⁡(8x)cos⁡(8x)+(3−64x2)sin⁡2(8x))log⁡(x3sin⁡2(8x))+8(192x2(16xcos⁡(8x)+3sin⁡(8x))cos⁡2(8x)+48x(16xcos⁡(8x)+3sin⁡(8x))sin⁡(8x)cos⁡(8x)−32x(64x2cos⁡2(8x)+48xsin⁡(8x)cos⁡(8x)+(3−64x2)sin⁡2(8x))cos⁡(8x)+(−2048x3sin⁡(8x)cos⁡(8x)+192x2cos⁡2(8x)−144xsin⁡(8x)cos⁡(8x)+3(1−192x2)sin⁡2(8x)−6(3−64x2)sin⁡2(8x)+2(512x3cos⁡(8x)+96x2sin⁡(8x)+48xcos⁡(8x)+9sin⁡(8x))sin⁡(8x))sin⁡(8x))log⁡(x3sin⁡2(8x))2)8x3log⁡(x3sin⁡2(8x))52sin⁡3(8x)\frac{\sqrt{3} \left(96 x \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \cos{\left(8 x \right)} + 3 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{3} + 18 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)} - 12 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \left(64 x^{2} \cos^{2}{\left(8 x \right)} + 48 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + \left(3 - 64 x^{2}\right) \sin^{2}{\left(8 x \right)}\right) \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} + 8 \left(192 x^{2} \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \cos^{2}{\left(8 x \right)} + 48 x \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \sin{\left(8 x \right)} \cos{\left(8 x \right)} - 32 x \left(64 x^{2} \cos^{2}{\left(8 x \right)} + 48 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + \left(3 - 64 x^{2}\right) \sin^{2}{\left(8 x \right)}\right) \cos{\left(8 x \right)} + \left(- 2048 x^{3} \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 192 x^{2} \cos^{2}{\left(8 x \right)} - 144 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \left(1 - 192 x^{2}\right) \sin^{2}{\left(8 x \right)} - 6 \left(3 - 64 x^{2}\right) \sin^{2}{\left(8 x \right)} + 2 \left(512 x^{3} \cos{\left(8 x \right)} + 96 x^{2} \sin{\left(8 x \right)} + 48 x \cos{\left(8 x \right)} + 9 \sin{\left(8 x \right)}\right) \sin{\left(8 x \right)}\right) \sin{\left(8 x \right)}\right) \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2}\right)}{8 x^{3} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{\frac{5}{2}} \sin^{3}{\left(8 x \right)}} 
sqrt(3)*(3*(3*sin(8*x) + 16*x*cos(8*x))^3 + 8*log(x^3*sin(8*x)^2)^2*((-6*sin(8*x)^2*(3 - 64*x^2) + 2*(9*sin(8*x) + 48*x*cos(8*x) + 96*x^2*sin(8*x) + 512*x^3*cos(8*x))*sin(8*x) + 3*sin(8*x)^2*(1 - 192*x^2) + 192*x^2*cos(8*x)^2 - 2048*x^3*cos(8*x)*sin(8*x) - 144*x*cos(8*x)*sin(8*x))*sin(8*x) - 32*x*(sin(8*x)^2*(3 - 64*x^2) + 64*x^2*cos(8*x)^2 + 48*x*cos(8*x)*sin(8*x))*cos(8*x) + 192*x^2*cos(8*x)^2*(3*sin(8*x) + 16*x*cos(8*x)) + 48*x*(3*sin(8*x) + 16*x*cos(8*x))*cos(8*x)*sin(8*x)) - 12*(3*sin(8*x) + 16*x*cos(8*x))*(sin(8*x)^2*(3 - 64*x^2) + 64*x^2*cos(8*x)^2 + 48*x*cos(8*x)*sin(8*x))*log(x^3*sin(8*x)^2) + 18*(3*sin(8*x) + 16*x*cos(8*x))^2*log(x^3*sin(8*x)^2)*sin(8*x) + 96*x*(3*sin(8*x) + 16*x*cos(8*x))^2*cos(8*x)*log(x^3*sin(8*x)^2))/(8*x^3*log(x^3*sin(8*x)^2)^(5/2)*sin(8*x)^3)
Potencias [src] 
          /                                                                                                                                     2                                                            /                        2                                                          2                                                  \       /                        2                                                           2                                                                                                     \                        /                                                                                      2                                                  \                                                           3                                                            2                                                                                                                                                               /                        2                                                         2                                                 \                                                           2\
          |                                  / -8*I*x    8*I*x\                                                               / -8*I*x    8*I*x\  /     / -8*I*x    8*I*x\       /   -8*I*x    8*I*x\\       |    /   -8*I*x    8*I*x\                              2          / -8*I*x    8*I*x\            / -8*I*x    8*I*x\                     |       |    /   -8*I*x    8*I*x\                               2          / -8*I*x    8*I*x\           / -8*I*x    8*I*x\                                  / -8*I*x    8*I*x\                     |     / -8*I*x    8*I*x\ |                         2                              2           / -8*I*x    8*I*x\            / -8*I*x    8*I*x\                     |       /     / -8*I*x    8*I*x\       /   -8*I*x    8*I*x\\         /     / -8*I*x    8*I*x\       /   -8*I*x    8*I*x\\  / -8*I*x    8*I*x\       / -8*I*x    8*I*x\ /                                    / -8*I*x    8*I*x\\     /     / -8*I*x    8*I*x\       /   -8*I*x    8*I*x\\ |    /   -8*I*x    8*I*x\                              2         / -8*I*x    8*I*x\           / -8*I*x    8*I*x\                     |       /     / -8*I*x    8*I*x\       /   -8*I*x    8*I*x\\ |
          |      /   -8*I*x    8*I*x\        |e         e     |                                                               |e         e     |  |     |e         e     |   3*I*\- e       + e     /|       |  9*\- e       + e     /        2 /   -8*I*x    8*I*x\         2 |e         e     |            |e         e     | /   -8*I*x    8*I*x\|       |  3*\- e       + e     /         2 /   -8*I*x    8*I*x\         2 |e         e     |           |e         e     | /   -8*I*x    8*I*x\           3 |e         e     | /   -8*I*x    8*I*x\|     |e         e     | |     /   -8*I*x    8*I*x\         2 /   -8*I*x    8*I*x\          2 |e         e     |            |e         e     | /   -8*I*x    8*I*x\|       |     |e         e     |   3*I*\- e       + e     /|         |     |e         e     |   3*I*\- e       + e     /|  |e         e     |       |e         e     | |       /   -8*I*x    8*I*x\         |e         e     ||     |     |e         e     |   9*I*\- e       + e     /| |  3*\- e       + e     /        2 /   -8*I*x    8*I*x\        2 |e         e     |           |e         e     | /   -8*I*x    8*I*x\|       |     |e         e     |   3*I*\- e       + e     /| |
          |- 9*I*\- e       + e     / + 96*x*|------- + ------|                                      / -8*I*x    8*I*x\   768*|------- + ------| *|16*x*|------- + ------| - ------------------------|   2*I*|- ----------------------- + 96*x *\- e       + e     /  + 384*x *|------- + ------|  - 144*I*x*|------- + ------|*\- e       + e     /|   2*I*|- ----------------------- + 144*x *\- e       + e     /  + 576*x *|------- + ------|  - 72*I*x*|------- + ------|*\- e       + e     / + 1024*I*x *|------- + ------|*\- e       + e     /|   4*|------- + ------|*|- 24*\- e       + e     /  + 512*x *\- e       + e     /  + 2048*x *|------- + ------|  - 768*I*x*|------- + ------|*\- e       + e     /|     3*|16*x*|------- + ------| - ------------------------|      48*|16*x*|------- + ------| - ------------------------| *|------- + ------|   2*I*|------- + ------|*|- 72*I*\- e       + e     / + 768*x*|------- + ------||   2*|48*x*|------- + ------| - ------------------------|*|- ----------------------- + 16*x *\- e       + e     /  + 64*x *|------- + ------|  - 24*I*x*|------- + ------|*\- e       + e     /|   9*I*|16*x*|------- + ------| - ------------------------| |
      ___ |                                  \   2        2   /        /   -8*I*x    8*I*x\          |e         e     |       \   2        2   /  \     \   2        2   /              2            /       \             2                                                   \   2        2   /            \   2        2   /                     /       \             4                                                    \   2        2   /           \   2        2   /                                  \   2        2   /                     /     \   2        2   / \                                                                    \   2        2   /            \   2        2   /                     /       \     \   2        2   /              2            /         \     \   2        2   /              2            /  \   2        2   /       \   2        2   / \                                    \   2        2   //     \     \   2        2   /              2            / \             4                                                  \   2        2   /           \   2        2   /                     /       \     \   2        2   /              2            / |
2*I*\/ 3 *|---------------------------------------------------- - 96*I*\- e       + e     / + 1024*x*|------- + ------| - ---------------------------------------------------------------------------- - -------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ + ---------------------------------------------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------- - --------------------------------------------------------------------------- + ------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------|
          |                          2                                                               \   2        2   /                                                  2                                                                                          2 /   -8*I*x    8*I*x\                                                                                                                                                   2 /   -8*I*x    8*I*x\                                                                                                                                                                                  2                                                                                                       /                        2 \                                        /                        2 \                                            /   -8*I*x    8*I*x\                                                                                                                              /                        2 \                                                                                                  /                        2 \|
          |                         x                                                                                                                /   -8*I*x    8*I*x\                                                                                          x *\- e       + e     /                                                                                                                                                  x *\- e       + e     /                                                                                                                                                              /   -8*I*x    8*I*x\                                                                                                  2     |  3 /   -8*I*x    8*I*x\  |                                   2    |  3 /   -8*I*x    8*I*x\  |                                          x*\- e       + e     /                                                                                                                         2    |  3 /   -8*I*x    8*I*x\  |                                                                                                  |  3 /   -8*I*x    8*I*x\  ||
          |                                                                                                                                          \- e       + e     /                                                                                                                                                                                                                                                                                                                                                                                                                                                      x*\- e       + e     /                                                                            2 /   -8*I*x    8*I*x\     2|-x *\- e       + e     /  |               /   -8*I*x    8*I*x\     |-x *\- e       + e     /  |                                                                                                                                                                   2 /   -8*I*x    8*I*x\     |-x *\- e       + e     /  |                                                                        2 /   -8*I*x    8*I*x\    |-x *\- e       + e     /  ||
          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   2*x *\- e       + e     / *log |--------------------------|             x*\- e       + e     / *log|--------------------------|                                                                                                                                                                  x *\- e       + e     / *log|--------------------------|                                                                     2*x *\- e       + e     /*log|--------------------------||
          \                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \            4             /                                        \            4             /                                                                                                                                                                                              \            4             /                                                                                                  \            4             //
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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       /     |  3 /   -8*I*x    8*I*x\  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              /   -8*I*x    8*I*x\    /      |-x *\- e       + e     /  |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            x*\- e       + e     /*  /    log|--------------------------|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             
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23i(1024x(e8ix2+e−8ix2)−768(16x(e8ix2+e−8ix2)−3i(e8ix−e−8ix)2)(e8ix2+e−8ix2)2(e8ix−e−8ix)2−96i(e8ix−e−8ix)−48(16x(e8ix2+e−8ix2)−3i(e8ix−e−8ix)2)2(e8ix2+e−8ix2)x(e8ix−e−8ix)2log⁡(−x3(e8ix−e−8ix)24)+2i(768x(e8ix2+e−8ix2)−72i(e8ix−e−8ix))(e8ix2+e−8ix2)x(e8ix−e−8ix)+4(e8ix2+e−8ix2)(2048x2(e8ix2+e−8ix2)2+512x2(e8ix−e−8ix)2−768ix(e8ix2+e−8ix2)(e8ix−e−8ix)−24(e8ix−e−8ix)2)x(e8ix−e−8ix)2−3(16x(e8ix2+e−8ix2)−3i(e8ix−e−8ix)2)32x2(e8ix−e−8ix)2log⁡(−x3(e8ix−e−8ix)24)2+9i(16x(e8ix2+e−8ix2)−3i(e8ix−e−8ix)2)22x2(e8ix−e−8ix)log⁡(−x3(e8ix−e−8ix)24)+2(48x(e8ix2+e−8ix2)−9i(e8ix−e−8ix)2)(64x2(e8ix2+e−8ix2)2+16x2(e8ix−e−8ix)2−24ix(e8ix2+e−8ix2)(e8ix−e−8ix)−3(e8ix−e−8ix)24)x2(e8ix−e−8ix)2log⁡(−x3(e8ix−e−8ix)24)+96x(e8ix2+e−8ix2)−9i(e8ix−e−8ix)x2−2i(384x2(e8ix2+e−8ix2)2+96x2(e8ix−e−8ix)2−144ix(e8ix2+e−8ix2)(e8ix−e−8ix)−9(e8ix−e−8ix)22)x2(e8ix−e−8ix)+2i(1024ix3(e8ix2+e−8ix2)(e8ix−e−8ix)+576x2(e8ix2+e−8ix2)2+144x2(e8ix−e−8ix)2−72ix(e8ix2+e−8ix2)(e8ix−e−8ix)−3(e8ix−e−8ix)24)x2(e8ix−e−8ix))x(e8ix−e−8ix)log⁡(−x3(e8ix−e−8ix)24)\frac{2 \sqrt{3} i \left(1024 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - \frac{768 \left(16 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - \frac{3 i \left(e^{8 i x} - e^{- 8 i x}\right)}{2}\right) \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)^{2}}{\left(e^{8 i x} - e^{- 8 i x}\right)^{2}} - 96 i \left(e^{8 i x} - e^{- 8 i x}\right) - \frac{48 \left(16 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - \frac{3 i \left(e^{8 i x} - e^{- 8 i x}\right)}{2}\right)^{2} \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)}{x \left(e^{8 i x} - e^{- 8 i x}\right)^{2} \log{\left(- \frac{x^{3} \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4} \right)}} + \frac{2 i \left(768 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - 72 i \left(e^{8 i x} - e^{- 8 i x}\right)\right) \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)}{x \left(e^{8 i x} - e^{- 8 i x}\right)} + \frac{4 \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) \left(2048 x^{2} \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)^{2} + 512 x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)^{2} - 768 i x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) \left(e^{8 i x} - e^{- 8 i x}\right) - 24 \left(e^{8 i x} - e^{- 8 i x}\right)^{2}\right)}{x \left(e^{8 i x} - e^{- 8 i x}\right)^{2}} - \frac{3 \left(16 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - \frac{3 i \left(e^{8 i x} - e^{- 8 i x}\right)}{2}\right)^{3}}{2 x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)^{2} \log{\left(- \frac{x^{3} \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4} \right)}^{2}} + \frac{9 i \left(16 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - \frac{3 i \left(e^{8 i x} - e^{- 8 i x}\right)}{2}\right)^{2}}{2 x^{2} \left(e^{8 i x} - e^{- 8 i x}\right) \log{\left(- \frac{x^{3} \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4} \right)}} + \frac{2 \left(48 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - \frac{9 i \left(e^{8 i x} - e^{- 8 i x}\right)}{2}\right) \left(64 x^{2} \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)^{2} + 16 x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)^{2} - 24 i x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) \left(e^{8 i x} - e^{- 8 i x}\right) - \frac{3 \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4}\right)}{x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)^{2} \log{\left(- \frac{x^{3} \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4} \right)}} + \frac{96 x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) - 9 i \left(e^{8 i x} - e^{- 8 i x}\right)}{x^{2}} - \frac{2 i \left(384 x^{2} \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)^{2} + 96 x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)^{2} - 144 i x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) \left(e^{8 i x} - e^{- 8 i x}\right) - \frac{9 \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{2}\right)}{x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)} + \frac{2 i \left(1024 i x^{3} \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) \left(e^{8 i x} - e^{- 8 i x}\right) + 576 x^{2} \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right)^{2} + 144 x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)^{2} - 72 i x \left(\frac{e^{8 i x}}{2} + \frac{e^{- 8 i x}}{2}\right) \left(e^{8 i x} - e^{- 8 i x}\right) - \frac{3 \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4}\right)}{x^{2} \left(e^{8 i x} - e^{- 8 i x}\right)}\right)}{x \left(e^{8 i x} - e^{- 8 i x}\right) \sqrt{\log{\left(- \frac{x^{3} \left(e^{8 i x} - e^{- 8 i x}\right)^{2}}{4} \right)}}} 
      /                                                                    2             2    2             2    2              3                                                     2             2    2             2    2                                         2                                                                                /      2              2    2              2    2                                \                                           3                                  2                                  2                                         /     2            2    2            2    2                              \\
  ___ |               18*sin(8*x) + 96*x*cos(8*x)                     3*sin (8*x) - 576*x *sin (8*x) + 576*x *cos (8*x) - 2048*x *cos(8*x)*sin(8*x) + 144*x*cos(8*x)*sin(8*x)   18*sin (8*x) - 384*x *sin (8*x) + 384*x *cos (8*x) + 288*x*cos(8*x)*sin(8*x)   192*cos (8*x)*(3*sin(8*x) + 16*x*cos(8*x))   (144*sin(8*x) + 768*x*cos(8*x))*cos(8*x)   \96*sin (8*x) - 2048*x *sin (8*x) + 2048*x *cos (8*x) + 1536*x*cos(8*x)*sin(8*x)/*cos(8*x)    3*(3*sin(8*x) + 16*x*cos(8*x))     9*(3*sin(8*x) + 16*x*cos(8*x))    12*(3*sin(8*x) + 16*x*cos(8*x)) *cos(8*x)   (9*sin(8*x) + 48*x*cos(8*x))*\3*sin (8*x) - 64*x *sin (8*x) + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/|
\/ 3 *|192*sin(8*x) + --------------------------- + 1024*x*cos(8*x) + ------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------- + ------------------------------------------ + ---------------------------------------- - ------------------------------------------------------------------------------------------ + --------------------------------- + ------------------------------- + ----------------------------------------- - -------------------------------------------------------------------------------------------------------|
      |                             2                                                                                2                                                                                           2                                                                2                                        x*sin(8*x)                                                              2                                                   2    2/ 3    2     \    2           2    / 3    2     \                       / 3    2     \    2                                                     2    / 3    2     \    2                                        |
      \                            x                                                                                x *sin(8*x)                                                                                 x *sin(8*x)                                                    sin (8*x)                                                                                                      x*sin (8*x)                                           8*x *log \x *sin (8*x)/*sin (8*x)   4*x *log\x *sin (8*x)/*sin(8*x)         x*log\x *sin (8*x)/*sin (8*x)                                             2*x *log\x *sin (8*x)/*sin (8*x)                                   /
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                                                                                                                                                                                                                                                                                                                          /    / 3    2     \                                                                                                                                                                                                                                                                                                                                 
                                                                                                                                                                                                                                                                                                                      x*\/  log\x *sin (8*x)/ *sin(8*x)
3(1024xcos⁡(8x)+192(16xcos⁡(8x)+3sin⁡(8x))cos⁡2(8x)sin⁡2(8x)+192sin⁡(8x)+12(16xcos⁡(8x)+3sin⁡(8x))2cos⁡(8x)xlog⁡(x3sin⁡2(8x))sin⁡2(8x)+(768xcos⁡(8x)+144sin⁡(8x))cos⁡(8x)xsin⁡(8x)−(−2048x2sin⁡2(8x)+2048x2cos⁡2(8x)+1536xsin⁡(8x)cos⁡(8x)+96sin⁡2(8x))cos⁡(8x)xsin⁡2(8x)+3(16xcos⁡(8x)+3sin⁡(8x))38x2log⁡(x3sin⁡2(8x))2sin⁡2(8x)+9(16xcos⁡(8x)+3sin⁡(8x))24x2log⁡(x3sin⁡2(8x))sin⁡(8x)−(48xcos⁡(8x)+9sin⁡(8x))(−64x2sin⁡2(8x)+64x2cos⁡2(8x)+48xsin⁡(8x)cos⁡(8x)+3sin⁡2(8x))2x2log⁡(x3sin⁡2(8x))sin⁡2(8x)+96xcos⁡(8x)+18sin⁡(8x)x2−−384x2sin⁡2(8x)+384x2cos⁡2(8x)+288xsin⁡(8x)cos⁡(8x)+18sin⁡2(8x)x2sin⁡(8x)+−2048x3sin⁡(8x)cos⁡(8x)−576x2sin⁡2(8x)+576x2cos⁡2(8x)+144xsin⁡(8x)cos⁡(8x)+3sin⁡2(8x)x2sin⁡(8x))xlog⁡(x3sin⁡2(8x))sin⁡(8x)\frac{\sqrt{3} \left(1024 x \cos{\left(8 x \right)} + \frac{192 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \cos^{2}{\left(8 x \right)}}{\sin^{2}{\left(8 x \right)}} + 192 \sin{\left(8 x \right)} + \frac{12 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2} \cos{\left(8 x \right)}}{x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}} + \frac{\left(768 x \cos{\left(8 x \right)} + 144 \sin{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin{\left(8 x \right)}} - \frac{\left(- 2048 x^{2} \sin^{2}{\left(8 x \right)} + 2048 x^{2} \cos^{2}{\left(8 x \right)} + 1536 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 96 \sin^{2}{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin^{2}{\left(8 x \right)}} + \frac{3 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{3}}{8 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)}} + \frac{9 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2}}{4 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)}} - \frac{\left(48 x \cos{\left(8 x \right)} + 9 \sin{\left(8 x \right)}\right) \left(- 64 x^{2} \sin^{2}{\left(8 x \right)} + 64 x^{2} \cos^{2}{\left(8 x \right)} + 48 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)}{2 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}} + \frac{96 x \cos{\left(8 x \right)} + 18 \sin{\left(8 x \right)}}{x^{2}} - \frac{- 384 x^{2} \sin^{2}{\left(8 x \right)} + 384 x^{2} \cos^{2}{\left(8 x \right)} + 288 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 18 \sin^{2}{\left(8 x \right)}}{x^{2} \sin{\left(8 x \right)}} + \frac{- 2048 x^{3} \sin{\left(8 x \right)} \cos{\left(8 x \right)} - 576 x^{2} \sin^{2}{\left(8 x \right)} + 576 x^{2} \cos^{2}{\left(8 x \right)} + 144 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}}{x^{2} \sin{\left(8 x \right)}}\right)}{x \sqrt{\log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}} \sin{\left(8 x \right)}} 
      /                                                                       2             2    2             2    2                                       2             2    2             2    2              3                                                  2                                                                                    /      2              2    2              2    2                                \                                           3                                  2                                  2                                         /     2            2    2            2    2                              \\
  ___ |               18*sin(8*x) + 96*x*cos(8*x)                     - 18*sin (8*x) - 384*x *cos (8*x) + 384*x *sin (8*x) - 288*x*cos(8*x)*sin(8*x)   3*sin (8*x) - 576*x *sin (8*x) + 576*x *cos (8*x) - 2048*x *cos(8*x)*sin(8*x) + 144*x*cos(8*x)*sin(8*x)   cos (8*x)*(576*sin(8*x) + 3072*x*cos(8*x))   (144*sin(8*x) + 768*x*cos(8*x))*cos(8*x)   \96*sin (8*x) - 2048*x *sin (8*x) + 2048*x *cos (8*x) + 1536*x*cos(8*x)*sin(8*x)/*cos(8*x)    3*(3*sin(8*x) + 16*x*cos(8*x))     9*(3*sin(8*x) + 16*x*cos(8*x))    12*(3*sin(8*x) + 16*x*cos(8*x)) *cos(8*x)   (9*sin(8*x) + 48*x*cos(8*x))*\3*sin (8*x) - 64*x *sin (8*x) + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/|
\/ 3 *|192*sin(8*x) + --------------------------- + 1024*x*cos(8*x) + ------------------------------------------------------------------------------ + ------------------------------------------------------------------------------------------------------- + ------------------------------------------ + ---------------------------------------- - ------------------------------------------------------------------------------------------ + --------------------------------- + ------------------------------- + ----------------------------------------- - -------------------------------------------------------------------------------------------------------|
      |                             2                                                                   2                                                                                             2                                                                             2                                        x*sin(8*x)                                                              2                                                   2    2/ 3    2     \    2           2    / 3    2     \                       / 3    2     \    2                                                     2    / 3    2     \    2                                        |
      \                            x                                                                   x *sin(8*x)                                                                                   x *sin(8*x)                                                                 sin (8*x)                                                                                                      x*sin (8*x)                                           8*x *log \x *sin (8*x)/*sin (8*x)   4*x *log\x *sin (8*x)/*sin(8*x)         x*log\x *sin (8*x)/*sin (8*x)                                             2*x *log\x *sin (8*x)/*sin (8*x)                                   /
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                                                                                                                                                                                                                                                                                                                           /    / 3    2     \                                                                                                                                                                                                                                                                                                                                  
                                                                                                                                                                                                                                                                                                                       x*\/  log\x *sin (8*x)/ *sin(8*x)
3(1024xcos⁡(8x)+(3072xcos⁡(8x)+576sin⁡(8x))cos⁡2(8x)sin⁡2(8x)+192sin⁡(8x)+12(16xcos⁡(8x)+3sin⁡(8x))2cos⁡(8x)xlog⁡(x3sin⁡2(8x))sin⁡2(8x)+(768xcos⁡(8x)+144sin⁡(8x))cos⁡(8x)xsin⁡(8x)−(−2048x2sin⁡2(8x)+2048x2cos⁡2(8x)+1536xsin⁡(8x)cos⁡(8x)+96sin⁡2(8x))cos⁡(8x)xsin⁡2(8x)+3(16xcos⁡(8x)+3sin⁡(8x))38x2log⁡(x3sin⁡2(8x))2sin⁡2(8x)+9(16xcos⁡(8x)+3sin⁡(8x))24x2log⁡(x3sin⁡2(8x))sin⁡(8x)−(48xcos⁡(8x)+9sin⁡(8x))(−64x2sin⁡2(8x)+64x2cos⁡2(8x)+48xsin⁡(8x)cos⁡(8x)+3sin⁡2(8x))2x2log⁡(x3sin⁡2(8x))sin⁡2(8x)+96xcos⁡(8x)+18sin⁡(8x)x2+384x2sin⁡2(8x)−384x2cos⁡2(8x)−288xsin⁡(8x)cos⁡(8x)−18sin⁡2(8x)x2sin⁡(8x)+−2048x3sin⁡(8x)cos⁡(8x)−576x2sin⁡2(8x)+576x2cos⁡2(8x)+144xsin⁡(8x)cos⁡(8x)+3sin⁡2(8x)x2sin⁡(8x))xlog⁡(x3sin⁡2(8x))sin⁡(8x)\frac{\sqrt{3} \left(1024 x \cos{\left(8 x \right)} + \frac{\left(3072 x \cos{\left(8 x \right)} + 576 \sin{\left(8 x \right)}\right) \cos^{2}{\left(8 x \right)}}{\sin^{2}{\left(8 x \right)}} + 192 \sin{\left(8 x \right)} + \frac{12 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2} \cos{\left(8 x \right)}}{x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}} + \frac{\left(768 x \cos{\left(8 x \right)} + 144 \sin{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin{\left(8 x \right)}} - \frac{\left(- 2048 x^{2} \sin^{2}{\left(8 x \right)} + 2048 x^{2} \cos^{2}{\left(8 x \right)} + 1536 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 96 \sin^{2}{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin^{2}{\left(8 x \right)}} + \frac{3 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{3}}{8 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)}} + \frac{9 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2}}{4 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)}} - \frac{\left(48 x \cos{\left(8 x \right)} + 9 \sin{\left(8 x \right)}\right) \left(- 64 x^{2} \sin^{2}{\left(8 x \right)} + 64 x^{2} \cos^{2}{\left(8 x \right)} + 48 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)}{2 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}} + \frac{96 x \cos{\left(8 x \right)} + 18 \sin{\left(8 x \right)}}{x^{2}} + \frac{384 x^{2} \sin^{2}{\left(8 x \right)} - 384 x^{2} \cos^{2}{\left(8 x \right)} - 288 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} - 18 \sin^{2}{\left(8 x \right)}}{x^{2} \sin{\left(8 x \right)}} + \frac{- 2048 x^{3} \sin{\left(8 x \right)} \cos{\left(8 x \right)} - 576 x^{2} \sin^{2}{\left(8 x \right)} + 576 x^{2} \cos^{2}{\left(8 x \right)} + 144 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}}{x^{2} \sin{\left(8 x \right)}}\right)}{x \sqrt{\log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}} \sin{\left(8 x \right)}} 
sqrt(3)*(192*sin(8*x) + (18*sin(8*x) + 96*x*cos(8*x))/x^2 + 1024*x*cos(8*x) + (-18*sin(8*x)^2 - 384*x^2*cos(8*x)^2 + 384*x^2*sin(8*x)^2 - 288*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) + (3*sin(8*x)^2 - 576*x^2*sin(8*x)^2 + 576*x^2*cos(8*x)^2 - 2048*x^3*cos(8*x)*sin(8*x) + 144*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) + cos(8*x)^2*(576*sin(8*x) + 3072*x*cos(8*x))/sin(8*x)^2 + (144*sin(8*x) + 768*x*cos(8*x))*cos(8*x)/(x*sin(8*x)) - (96*sin(8*x)^2 - 2048*x^2*sin(8*x)^2 + 2048*x^2*cos(8*x)^2 + 1536*x*cos(8*x)*sin(8*x))*cos(8*x)/(x*sin(8*x)^2) + 3*(3*sin(8*x) + 16*x*cos(8*x))^3/(8*x^2*log(x^3*sin(8*x)^2)^2*sin(8*x)^2) + 9*(3*sin(8*x) + 16*x*cos(8*x))^2/(4*x^2*log(x^3*sin(8*x)^2)*sin(8*x)) + 12*(3*sin(8*x) + 16*x*cos(8*x))^2*cos(8*x)/(x*log(x^3*sin(8*x)^2)*sin(8*x)^2) - (9*sin(8*x) + 48*x*cos(8*x))*(3*sin(8*x)^2 - 64*x^2*sin(8*x)^2 + 64*x^2*cos(8*x)^2 + 48*x*cos(8*x)*sin(8*x))/(2*x^2*log(x^3*sin(8*x)^2)*sin(8*x)^2))/(x*sqrt(log(x^3*sin(8*x)^2))*sin(8*x))
Compilar la expresión [src] 
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  ___ |               18*sin(8*x) + 96*x*cos(8*x)                     3*sin (8*x) - 576*x *sin (8*x) + 576*x *cos (8*x) - 2048*x *cos(8*x)*sin(8*x) + 144*x*cos(8*x)*sin(8*x)   18*sin (8*x) - 384*x *sin (8*x) + 384*x *cos (8*x) + 288*x*cos(8*x)*sin(8*x)   192*cos (8*x)*(3*sin(8*x) + 16*x*cos(8*x))   (144*sin(8*x) + 768*x*cos(8*x))*cos(8*x)   \96*sin (8*x) - 2048*x *sin (8*x) + 2048*x *cos (8*x) + 1536*x*cos(8*x)*sin(8*x)/*cos(8*x)    3*(3*sin(8*x) + 16*x*cos(8*x))     9*(3*sin(8*x) + 16*x*cos(8*x))    12*(3*sin(8*x) + 16*x*cos(8*x)) *cos(8*x)   (9*sin(8*x) + 48*x*cos(8*x))*\3*sin (8*x) - 64*x *sin (8*x) + 64*x *cos (8*x) + 48*x*cos(8*x)*sin(8*x)/|
\/ 3 *|192*sin(8*x) + --------------------------- + 1024*x*cos(8*x) + ------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------- + ------------------------------------------ + ---------------------------------------- - ------------------------------------------------------------------------------------------ + --------------------------------- + ------------------------------- + ----------------------------------------- - -------------------------------------------------------------------------------------------------------|
      |                             2                                                                                2                                                                                           2                                                                2                                        x*sin(8*x)                                                              2                                                   2    2/ 3    2     \    2           2    / 3    2     \                       / 3    2     \    2                                                     2    / 3    2     \    2                                        |
      \                            x                                                                                x *sin(8*x)                                                                                 x *sin(8*x)                                                    sin (8*x)                                                                                                      x*sin (8*x)                                           8*x *log \x *sin (8*x)/*sin (8*x)   4*x *log\x *sin (8*x)/*sin(8*x)         x*log\x *sin (8*x)/*sin (8*x)                                             2*x *log\x *sin (8*x)/*sin (8*x)                                   /
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                                                                                                                                                                                                                                                                                                                      x*\/  log\x *sin (8*x)/ *sin(8*x)
3(1024xcos⁡(8x)+192(16xcos⁡(8x)+3sin⁡(8x))cos⁡2(8x)sin⁡2(8x)+192sin⁡(8x)+12(16xcos⁡(8x)+3sin⁡(8x))2cos⁡(8x)xlog⁡(x3sin⁡2(8x))sin⁡2(8x)+(768xcos⁡(8x)+144sin⁡(8x))cos⁡(8x)xsin⁡(8x)−(−2048x2sin⁡2(8x)+2048x2cos⁡2(8x)+1536xsin⁡(8x)cos⁡(8x)+96sin⁡2(8x))cos⁡(8x)xsin⁡2(8x)+3(16xcos⁡(8x)+3sin⁡(8x))38x2log⁡(x3sin⁡2(8x))2sin⁡2(8x)+9(16xcos⁡(8x)+3sin⁡(8x))24x2log⁡(x3sin⁡2(8x))sin⁡(8x)−(48xcos⁡(8x)+9sin⁡(8x))(−64x2sin⁡2(8x)+64x2cos⁡2(8x)+48xsin⁡(8x)cos⁡(8x)+3sin⁡2(8x))2x2log⁡(x3sin⁡2(8x))sin⁡2(8x)+96xcos⁡(8x)+18sin⁡(8x)x2−−384x2sin⁡2(8x)+384x2cos⁡2(8x)+288xsin⁡(8x)cos⁡(8x)+18sin⁡2(8x)x2sin⁡(8x)+−2048x3sin⁡(8x)cos⁡(8x)−576x2sin⁡2(8x)+576x2cos⁡2(8x)+144xsin⁡(8x)cos⁡(8x)+3sin⁡2(8x)x2sin⁡(8x))xlog⁡(x3sin⁡2(8x))sin⁡(8x)\frac{\sqrt{3} \left(1024 x \cos{\left(8 x \right)} + \frac{192 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right) \cos^{2}{\left(8 x \right)}}{\sin^{2}{\left(8 x \right)}} + 192 \sin{\left(8 x \right)} + \frac{12 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2} \cos{\left(8 x \right)}}{x \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}} + \frac{\left(768 x \cos{\left(8 x \right)} + 144 \sin{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin{\left(8 x \right)}} - \frac{\left(- 2048 x^{2} \sin^{2}{\left(8 x \right)} + 2048 x^{2} \cos^{2}{\left(8 x \right)} + 1536 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 96 \sin^{2}{\left(8 x \right)}\right) \cos{\left(8 x \right)}}{x \sin^{2}{\left(8 x \right)}} + \frac{3 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{3}}{8 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}^{2} \sin^{2}{\left(8 x \right)}} + \frac{9 \left(16 x \cos{\left(8 x \right)} + 3 \sin{\left(8 x \right)}\right)^{2}}{4 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin{\left(8 x \right)}} - \frac{\left(48 x \cos{\left(8 x \right)} + 9 \sin{\left(8 x \right)}\right) \left(- 64 x^{2} \sin^{2}{\left(8 x \right)} + 64 x^{2} \cos^{2}{\left(8 x \right)} + 48 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}\right)}{2 x^{2} \log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)} \sin^{2}{\left(8 x \right)}} + \frac{96 x \cos{\left(8 x \right)} + 18 \sin{\left(8 x \right)}}{x^{2}} - \frac{- 384 x^{2} \sin^{2}{\left(8 x \right)} + 384 x^{2} \cos^{2}{\left(8 x \right)} + 288 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 18 \sin^{2}{\left(8 x \right)}}{x^{2} \sin{\left(8 x \right)}} + \frac{- 2048 x^{3} \sin{\left(8 x \right)} \cos{\left(8 x \right)} - 576 x^{2} \sin^{2}{\left(8 x \right)} + 576 x^{2} \cos^{2}{\left(8 x \right)} + 144 x \sin{\left(8 x \right)} \cos{\left(8 x \right)} + 3 \sin^{2}{\left(8 x \right)}}{x^{2} \sin{\left(8 x \right)}}\right)}{x \sqrt{\log{\left(x^{3} \sin^{2}{\left(8 x \right)} \right)}} \sin{\left(8 x \right)}} 
sqrt(3)*(192*sin(8*x) + (18*sin(8*x) + 96*x*cos(8*x))/x^2 + 1024*x*cos(8*x) + (3*sin(8*x)^2 - 576*x^2*sin(8*x)^2 + 576*x^2*cos(8*x)^2 - 2048*x^3*cos(8*x)*sin(8*x) + 144*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) - (18*sin(8*x)^2 - 384*x^2*sin(8*x)^2 + 384*x^2*cos(8*x)^2 + 288*x*cos(8*x)*sin(8*x))/(x^2*sin(8*x)) + 192*cos(8*x)^2*(3*sin(8*x) + 16*x*cos(8*x))/sin(8*x)^2 + (144*sin(8*x) + 768*x*cos(8*x))*cos(8*x)/(x*sin(8*x)) - (96*sin(8*x)^2 - 2048*x^2*sin(8*x)^2 + 2048*x^2*cos(8*x)^2 + 1536*x*cos(8*x)*sin(8*x))*cos(8*x)/(x*sin(8*x)^2) + 3*(3*sin(8*x) + 16*x*cos(8*x))^3/(8*x^2*log(x^3*sin(8*x)^2)^2*sin(8*x)^2) + 9*(3*sin(8*x) + 16*x*cos(8*x))^2/(4*x^2*log(x^3*sin(8*x)^2)*sin(8*x)) + 12*(3*sin(8*x) + 16*x*cos(8*x))^2*cos(8*x)/(x*log(x^3*sin(8*x)^2)*sin(8*x)^2) - (9*sin(8*x) + 48*x*cos(8*x))*(3*sin(8*x)^2 - 64*x^2*sin(8*x)^2 + 64*x^2*cos(8*x)^2 + 48*x*cos(8*x)*sin(8*x))/(2*x^2*log(x^3*sin(8*x)^2)*sin(8*x)^2))/(x*sqrt(log(x^3*sin(8*x)^2))*sin(8*x))
    © Sr Examen – Калькулятор