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Simplificación de expresiones/ Descomposición en fracciones simples/ sin(6*x)/((2*sin(3*x)))+2*sin(33/2)^2*x-sin(6)^2*x-cos(6)^2*x

¿Cómo vas a descomponer esta sin(6*x)/((2*sin(3*x)))+2*sin(33/2)^2*x-sin(6)^2*x-cos(6)^2*x expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
 sin(6*x)         2              2           2     
---------- + 2*sin (33/2)*x - sin (6)*x - cos (6)*x
2*sin(3*x)
−xcos⁡2(6)+(−xsin⁡2(6)+(x2sin⁡2(332)+sin⁡(6x)2sin⁡(3x)))- x \cos^{2}{\left(6 \right)} + \left(- x \sin^{2}{\left(6 \right)} + \left(x 2 \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}}\right)\right) 
sin(6*x)/((2*sin(3*x))) + (2*sin(33/2)^2)*x - sin(6)^2*x - cos(6)^2*x
Simplificación general [src] 
-x*cos(33) + cos(3*x)
−xcos⁡(33)+cos⁡(3x)- x \cos{\left(33 \right)} + \cos{\left(3 x \right)} 
-x*cos(33) + cos(3*x)
Denominador común [src] 
 sin(6*x)         2           2             2      
---------- - x*cos (6) - x*sin (6) + 2*x*sin (33/2)
2*sin(3*x)
−xcos⁡2(6)−xsin⁡2(6)+2xsin⁡2(332)+sin⁡(6x)2sin⁡(3x)- x \cos^{2}{\left(6 \right)} - x \sin^{2}{\left(6 \right)} + 2 x \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
sin(6*x)/(2*sin(3*x)) - x*cos(6)^2 - x*sin(6)^2 + 2*x*sin(33/2)^2
Potencias [src] 
 sin(6*x)         2           2             2      
---------- - x*cos (6) - x*sin (6) + 2*x*sin (33/2)
2*sin(3*x)
−xcos⁡2(6)−xsin⁡2(6)+2xsin⁡2(332)+sin⁡(6x)2sin⁡(3x)- x \cos^{2}{\left(6 \right)} - x \sin^{2}{\left(6 \right)} + 2 x \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
                                                                 2                      
                                               /   -33*I    33*I\                       
                                         2     |   -----    ----|                      2
     -6*I*x    6*I*x       / -6*I    6*I\      |     2       2  |      /   -6*I    6*I\ 
  - e       + e            |e       e   |    x*\- e      + e    /    x*\- e     + e   / 
---------------------- - x*|----- + ----|  - --------------------- + -------------------
  /   -3*I*x    3*I*x\     \  2      2  /              2                      4         
2*\- e       + e     /
−x(e6i2+e−6i2)2+x(−e−6i+e6i)24−x(e33i2−e−33i2)22+e6ix−e−6ix2(e3ix−e−3ix)- x \left(\frac{e^{6 i}}{2} + \frac{e^{- 6 i}}{2}\right)^{2} + \frac{x \left(- e^{- 6 i} + e^{6 i}\right)^{2}}{4} - \frac{x \left(e^{\frac{33 i}{2}} - e^{- \frac{33 i}{2}}\right)^{2}}{2} + \frac{e^{6 i x} - e^{- 6 i x}}{2 \left(e^{3 i x} - e^{- 3 i x}\right)} 
(-exp(-6*i*x) + exp(6*i*x))/(2*(-exp(-3*i*x) + exp(3*i*x))) - x*(exp(-6*i)/2 + exp(6*i)/2)^2 - x*(-exp(-33*i/2) + exp(33*i/2))^2/2 + x*(-exp(-6*i) + exp(6*i))^2/4
Unión de expresiones racionales [src] 
         2                      2                      2                          
- 2*x*cos (6)*sin(3*x) - 2*x*sin (6)*sin(3*x) + 4*x*sin (33/2)*sin(3*x) + sin(6*x)
----------------------------------------------------------------------------------
                                    2*sin(3*x)
−2xsin⁡(3x)cos⁡2(6)−2xsin⁡2(6)sin⁡(3x)+4xsin⁡2(332)sin⁡(3x)+sin⁡(6x)2sin⁡(3x)\frac{- 2 x \sin{\left(3 x \right)} \cos^{2}{\left(6 \right)} - 2 x \sin^{2}{\left(6 \right)} \sin{\left(3 x \right)} + 4 x \sin^{2}{\left(\frac{33}{2} \right)} \sin{\left(3 x \right)} + \sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
(-2*x*cos(6)^2*sin(3*x) - 2*x*sin(6)^2*sin(3*x) + 4*x*sin(33/2)^2*sin(3*x) + sin(6*x))/(2*sin(3*x))
Compilar la expresión [src] 
 sin(6*x)         2           2             2      
---------- - x*cos (6) - x*sin (6) + 2*x*sin (33/2)
2*sin(3*x)
−xcos⁡2(6)−xsin⁡2(6)+2xsin⁡2(332)+sin⁡(6x)2sin⁡(3x)- x \cos^{2}{\left(6 \right)} - x \sin^{2}{\left(6 \right)} + 2 x \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
sin(6*x)/(2*sin(3*x)) - x*cos(6)^2 - x*sin(6)^2 + 2*x*sin(33/2)^2
Denominador racional [src] 
         2                      2                      2                          
- 2*x*cos (6)*sin(3*x) - 2*x*sin (6)*sin(3*x) + 4*x*sin (33/2)*sin(3*x) + sin(6*x)
----------------------------------------------------------------------------------
                                    2*sin(3*x)
−2xsin⁡(3x)cos⁡2(6)−2xsin⁡2(6)sin⁡(3x)+4xsin⁡2(332)sin⁡(3x)+sin⁡(6x)2sin⁡(3x)\frac{- 2 x \sin{\left(3 x \right)} \cos^{2}{\left(6 \right)} - 2 x \sin^{2}{\left(6 \right)} \sin{\left(3 x \right)} + 4 x \sin^{2}{\left(\frac{33}{2} \right)} \sin{\left(3 x \right)} + \sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
(-2*x*cos(6)^2*sin(3*x) - 2*x*sin(6)^2*sin(3*x) + 4*x*sin(33/2)^2*sin(3*x) + sin(6*x))/(2*sin(3*x))
Abrimos la expresión [src] 
                                                                                                                                                                                                             3                                                 5                                                              
          2                     8                12               4              2                6                10                2       6                2       10              2       2        16*sin (x)*cos(x)         3*cos(x)*sin(x)         16*sin (x)*cos(x)               2       4                2       8   
-x + 2*sin (33/2)*x - 3456*x*cos (1) - 1024*x*cos  (1) - 420*x*cos (1) + 36*x*cos (1) + 1792*x*cos (1) + 3072*x*cos  (1) - 1408*x*cos (1)*sin (1) - 1024*x*cos (1)*sin  (1) - 36*x*cos (1)*sin (1) - ---------------------- + ---------------------- + ---------------------- + 384*x*cos (1)*sin (1) + 2048*x*cos (1)*sin (1)
                                                                                                                                                                                                            3                        3                        3                                                               
                                                                                                                                                                                                     - 4*sin (x) + 3*sin(x)   - 4*sin (x) + 3*sin(x)   - 4*sin (x) + 3*sin(x)
−1408xsin⁡6(1)cos⁡2(1)−1024xsin⁡10(1)cos⁡2(1)−420xcos⁡4(1)−3456xcos⁡8(1)−36xsin⁡2(1)cos⁡2(1)−x−1024xcos⁡12(1)+x2sin⁡2(332)+3072xcos⁡10(1)+36xcos⁡2(1)+1792xcos⁡6(1)+384xsin⁡4(1)cos⁡2(1)+2048xsin⁡8(1)cos⁡2(1)+16sin⁡5(x)cos⁡(x)−4sin⁡3(x)+3sin⁡(x)−16sin⁡3(x)cos⁡(x)−4sin⁡3(x)+3sin⁡(x)+3sin⁡(x)cos⁡(x)−4sin⁡3(x)+3sin⁡(x)- 1408 x \sin^{6}{\left(1 \right)} \cos^{2}{\left(1 \right)} - 1024 x \sin^{10}{\left(1 \right)} \cos^{2}{\left(1 \right)} - 420 x \cos^{4}{\left(1 \right)} - 3456 x \cos^{8}{\left(1 \right)} - 36 x \sin^{2}{\left(1 \right)} \cos^{2}{\left(1 \right)} - x - 1024 x \cos^{12}{\left(1 \right)} + x 2 \sin^{2}{\left(\frac{33}{2} \right)} + 3072 x \cos^{10}{\left(1 \right)} + 36 x \cos^{2}{\left(1 \right)} + 1792 x \cos^{6}{\left(1 \right)} + 384 x \sin^{4}{\left(1 \right)} \cos^{2}{\left(1 \right)} + 2048 x \sin^{8}{\left(1 \right)} \cos^{2}{\left(1 \right)} + \frac{16 \sin^{5}{\left(x \right)} \cos{\left(x \right)}}{- 4 \sin^{3}{\left(x \right)} + 3 \sin{\left(x \right)}} - \frac{16 \sin^{3}{\left(x \right)} \cos{\left(x \right)}}{- 4 \sin^{3}{\left(x \right)} + 3 \sin{\left(x \right)}} + \frac{3 \sin{\left(x \right)} \cos{\left(x \right)}}{- 4 \sin^{3}{\left(x \right)} + 3 \sin{\left(x \right)}} 
     2            sin(6*x)       2           2     
2*sin (33/2)*x + ---------- - cos (6)*x - sin (6)*x
                 2*sin(3*x)
−xcos⁡2(6)−xsin⁡2(6)+x2sin⁡2(332)+sin⁡(6x)2sin⁡(3x)- x \cos^{2}{\left(6 \right)} - x \sin^{2}{\left(6 \right)} + x 2 \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
(2*sin(33/2)^2)*x + sin(6*x)/(2*sin(3*x)) - cos(6)^2*x - sin(6)^2*x
Combinatoria [src] 
 /                   2                         2                      2            \ 
-\-sin(6*x) - 4*x*sin (33/2)*sin(3*x) + 2*x*cos (6)*sin(3*x) + 2*x*sin (6)*sin(3*x)/ 
-------------------------------------------------------------------------------------
                                      2*sin(3*x)
−−4xsin⁡2(332)sin⁡(3x)+2xsin⁡2(6)sin⁡(3x)+2xsin⁡(3x)cos⁡2(6)−sin⁡(6x)2sin⁡(3x)- \frac{- 4 x \sin^{2}{\left(\frac{33}{2} \right)} \sin{\left(3 x \right)} + 2 x \sin^{2}{\left(6 \right)} \sin{\left(3 x \right)} + 2 x \sin{\left(3 x \right)} \cos^{2}{\left(6 \right)} - \sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
-(-sin(6*x) - 4*x*sin(33/2)^2*sin(3*x) + 2*x*cos(6)^2*sin(3*x) + 2*x*sin(6)^2*sin(3*x))/(2*sin(3*x))
Parte trigonométrica [src] 
    /       2      \           
  x*\1 - tan (33/2)/           
- ------------------ + cos(3*x)
           2                   
    1 + tan (33/2)
−x(1−tan⁡2(332))1+tan⁡2(332)+cos⁡(3x)- \frac{x \left(1 - \tan^{2}{\left(\frac{33}{2} \right)}\right)}{1 + \tan^{2}{\left(\frac{33}{2} \right)}} + \cos{\left(3 x \right)} 
 csc(3*x)       x         x         2*x    
---------- - ------- - ------- + ----------
2*csc(6*x)      2         2         2      
             csc (6)   sec (6)   csc (33/2)
−xsec⁡2(6)−xcsc⁡2(6)+2xcsc⁡2(332)+csc⁡(3x)2csc⁡(6x)- \frac{x}{\sec^{2}{\left(6 \right)}} - \frac{x}{\csc^{2}{\left(6 \right)}} + \frac{2 x}{\csc^{2}{\left(\frac{33}{2} \right)}} + \frac{\csc{\left(3 x \right)}}{2 \csc{\left(6 x \right)}} 
    /      pi\                                          
 sec|3*x - --|                                          
    \      2 /       x           x              2*x     
--------------- - ------- - ------------ + -------------
     /      pi\      2         2/    pi\      2/33   pi\
2*sec|6*x - --|   sec (6)   sec |6 - --|   sec |-- - --|
     \      2 /                 \    2 /       \2    2 /
−xsec⁡2(6)−xsec⁡2(6−π2)+2xsec⁡2(332−π2)+sec⁡(3x−π2)2sec⁡(6x−π2)- \frac{x}{\sec^{2}{\left(6 \right)}} - \frac{x}{\sec^{2}{\left(6 - \frac{\pi}{2} \right)}} + \frac{2 x}{\sec^{2}{\left(\frac{33}{2} - \frac{\pi}{2} \right)}} + \frac{\sec{\left(3 x - \frac{\pi}{2} \right)}}{2 \sec{\left(6 x - \frac{\pi}{2} \right)}} 
                  2                                         /       2/3*x\\          
    /        2   \            2                 2           |1 + cot |---||*cot(3*x) 
  x*\-1 + cot (3)/     4*x*cot (3)       8*x*cot (33/4)     \        \ 2 //          
- ----------------- - -------------- + ----------------- + --------------------------
                 2                 2                   2     /       2     \    /3*x\
    /       2   \     /       2   \    /       2      \    2*\1 + cot (3*x)/*cot|---|
    \1 + cot (3)/     \1 + cot (3)/    \1 + cot (33/4)/                         \ 2 /
−x(−1+cot⁡2(3))2(1+cot⁡2(3))2−4xcot⁡2(3)(1+cot⁡2(3))2+8xcot⁡2(334)(cot⁡2(334)+1)2+(cot⁡2(3x2)+1)cot⁡(3x)2(cot⁡2(3x)+1)cot⁡(3x2)- \frac{x \left(-1 + \cot^{2}{\left(3 \right)}\right)^{2}}{\left(1 + \cot^{2}{\left(3 \right)}\right)^{2}} - \frac{4 x \cot^{2}{\left(3 \right)}}{\left(1 + \cot^{2}{\left(3 \right)}\right)^{2}} + \frac{8 x \cot^{2}{\left(\frac{33}{4} \right)}}{\left(\cot^{2}{\left(\frac{33}{4} \right)} + 1\right)^{2}} + \frac{\left(\cot^{2}{\left(\frac{3 x}{2} \right)} + 1\right) \cot{\left(3 x \right)}}{2 \left(\cot^{2}{\left(3 x \right)} + 1\right) \cot{\left(\frac{3 x}{2} \right)}} 
   1          x   
-------- - -------
sec(3*x)   sec(33)
−xsec⁡(33)+1sec⁡(3x)- \frac{x}{\sec{\left(33 \right)}} + \frac{1}{\sec{\left(3 x \right)}} 
    /      pi\                                                  
 cos|6*x - --|                                                  
    \      2 /         2           2/    pi\          2/33   pi\
--------------- - x*cos (6) - x*cos |6 - --| + 2*x*cos |-- - --|
     /      pi\                     \    2 /           \2    2 /
2*cos|3*x - --|                                                 
     \      2 /
−xcos⁡2(6)−xcos⁡2(6−π2)+2xcos⁡2(332−π2)+cos⁡(6x−π2)2cos⁡(3x−π2)- x \cos^{2}{\left(6 \right)} - x \cos^{2}{\left(6 - \frac{\pi}{2} \right)} + 2 x \cos^{2}{\left(\frac{33}{2} - \frac{\pi}{2} \right)} + \frac{\cos{\left(6 x - \frac{\pi}{2} \right)}}{2 \cos{\left(3 x - \frac{\pi}{2} \right)}} 
       1          2*x    
x + -------- - ----------
    sec(3*x)      2      
               sec (33/2)
−2xsec⁡2(332)+x+1sec⁡(3x)- \frac{2 x}{\sec^{2}{\left(\frac{33}{2} \right)}} + x + \frac{1}{\sec{\left(3 x \right)}} 
           2/33   pi\      /pi      \
x - 2*x*sin |-- + --| + sin|-- + 3*x|
            \2    2 /      \2       /
−2xsin⁡2(π2+332)+x+sin⁡(3x+π2)- 2 x \sin^{2}{\left(\frac{\pi}{2} + \frac{33}{2} \right)} + x + \sin{\left(3 x + \frac{\pi}{2} \right)} 
        2/3*x\                      
-1 + cot |---|     /        2      \
         \ 2 /   x*\-1 + cot (33/2)/
-------------- - -------------------
       2/3*x\              2        
1 + cot |---|       1 + cot (33/2)  
        \ 2 /
−x(−1+cot⁡2(332))cot⁡2(332)+1+cot⁡2(3x2)−1cot⁡2(3x2)+1- \frac{x \left(-1 + \cot^{2}{\left(\frac{33}{2} \right)}\right)}{\cot^{2}{\left(\frac{33}{2} \right)} + 1} + \frac{\cot^{2}{\left(\frac{3 x}{2} \right)} - 1}{\cot^{2}{\left(\frac{3 x}{2} \right)} + 1} 
           2/3*x\                       2
    1 - tan |---|       /       2      \ 
            \ 2 /   2*x*\1 - tan (33/4)/ 
x + ------------- - ---------------------
           2/3*x\                     2  
    1 + tan |---|     /       2      \   
            \ 2 /     \1 + tan (33/4)/
−2x(1−tan⁡2(334))2(1+tan⁡2(334))2+x+1−tan⁡2(3x2)tan⁡2(3x2)+1- \frac{2 x \left(1 - \tan^{2}{\left(\frac{33}{4} \right)}\right)^{2}}{\left(1 + \tan^{2}{\left(\frac{33}{4} \right)}\right)^{2}} + x + \frac{1 - \tan^{2}{\left(\frac{3 x}{2} \right)}}{\tan^{2}{\left(\frac{3 x}{2} \right)} + 1} 
-x*cos(33) + cos(3*x)
−xcos⁡(33)+cos⁡(3x)- x \cos{\left(33 \right)} + \cos{\left(3 x \right)} 
      1               x      
------------- - -------------
   /pi      \      /      pi\
csc|-- - 3*x|   csc|-33 + --|
   \2       /      \      2 /
−xcsc⁡(−33+π2)+1csc⁡(−3x+π2)- \frac{x}{\csc{\left(-33 + \frac{\pi}{2} \right)}} + \frac{1}{\csc{\left(- 3 x + \frac{\pi}{2} \right)}} 
                 2                                         /       2/3*x\\          
    /       2   \            2                 2           |1 + tan |---||*tan(3*x) 
  x*\1 - tan (3)/     4*x*tan (3)       8*x*tan (33/4)     \        \ 2 //          
- ---------------- - -------------- + ----------------- + --------------------------
                2                 2                   2     /       2     \    /3*x\
   /       2   \     /       2   \    /       2      \    2*\1 + tan (3*x)/*tan|---|
   \1 + tan (3)/     \1 + tan (3)/    \1 + tan (33/4)/                         \ 2 /
−x(1−tan⁡2(3))2(tan⁡2(3)+1)2−4xtan⁡2(3)(tan⁡2(3)+1)2+8xtan⁡2(334)(1+tan⁡2(334))2+(tan⁡2(3x2)+1)tan⁡(3x)2(tan⁡2(3x)+1)tan⁡(3x2)- \frac{x \left(1 - \tan^{2}{\left(3 \right)}\right)^{2}}{\left(\tan^{2}{\left(3 \right)} + 1\right)^{2}} - \frac{4 x \tan^{2}{\left(3 \right)}}{\left(\tan^{2}{\left(3 \right)} + 1\right)^{2}} + \frac{8 x \tan^{2}{\left(\frac{33}{4} \right)}}{\left(1 + \tan^{2}{\left(\frac{33}{4} \right)}\right)^{2}} + \frac{\left(\tan^{2}{\left(\frac{3 x}{2} \right)} + 1\right) \tan{\left(3 x \right)}}{2 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan{\left(\frac{3 x}{2} \right)}} 
 sin(6*x)         2           2/    pi\          2      
---------- - x*sin (6) - x*sin |6 + --| + 2*x*sin (33/2)
2*sin(3*x)                     \    2 /
−xsin⁡2(π2+6)−xsin⁡2(6)+2xsin⁡2(332)+sin⁡(6x)2sin⁡(3x)- x \sin^{2}{\left(\frac{\pi}{2} + 6 \right)} - x \sin^{2}{\left(6 \right)} + 2 x \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
            2/3*x\                        2
    -1 + cot |---|       /        2      \ 
             \ 2 /   2*x*\-1 + cot (33/4)/ 
x + -------------- - ----------------------
           2/3*x\                      2   
    1 + cot |---|      /       2      \    
            \ 2 /      \1 + cot (33/4)/
−2x(−1+cot⁡2(334))2(cot⁡2(334)+1)2+x+cot⁡2(3x2)−1cot⁡2(3x2)+1- \frac{2 x \left(-1 + \cot^{2}{\left(\frac{33}{4} \right)}\right)^{2}}{\left(\cot^{2}{\left(\frac{33}{4} \right)} + 1\right)^{2}} + x + \frac{\cot^{2}{\left(\frac{3 x}{2} \right)} - 1}{\cot^{2}{\left(\frac{3 x}{2} \right)} + 1} 
       /     pi\      /pi      \
- x*sin|33 + --| + sin|-- + 3*x|
       \     2 /      \2       /
−xsin⁡(π2+33)+sin⁡(3x+π2)- x \sin{\left(\frac{\pi}{2} + 33 \right)} + \sin{\left(3 x + \frac{\pi}{2} \right)} 
           2                 
x - 2*x*cos (33/2) + cos(3*x)
−2xcos⁡2(332)+x+cos⁡(3x)- 2 x \cos^{2}{\left(\frac{33}{2} \right)} + x + \cos{\left(3 x \right)} 
 csc(3*x)       x            x            2*x    
---------- - ------- - ------------- + ----------
2*csc(6*x)      2         2/     pi\      2      
             csc (6)   csc |-6 + --|   csc (33/2)
                           \     2 /
−xcsc⁡2(−6+π2)−xcsc⁡2(6)+2xcsc⁡2(332)+csc⁡(3x)2csc⁡(6x)- \frac{x}{\csc^{2}{\left(-6 + \frac{\pi}{2} \right)}} - \frac{x}{\csc^{2}{\left(6 \right)}} + \frac{2 x}{\csc^{2}{\left(\frac{33}{2} \right)}} + \frac{\csc{\left(3 x \right)}}{2 \csc{\left(6 x \right)}} 
       2/3*x\                     
1 - tan |---|     /       2      \
        \ 2 /   x*\1 - tan (33/2)/
------------- - ------------------
       2/3*x\            2        
1 + tan |---|     1 + tan (33/2)  
        \ 2 /
−x(1−tan⁡2(332))1+tan⁡2(332)+1−tan⁡2(3x2)tan⁡2(3x2)+1- \frac{x \left(1 - \tan^{2}{\left(\frac{33}{2} \right)}\right)}{1 + \tan^{2}{\left(\frac{33}{2} \right)}} + \frac{1 - \tan^{2}{\left(\frac{3 x}{2} \right)}}{\tan^{2}{\left(\frac{3 x}{2} \right)} + 1} 
 sin(6*x)         2           2             2      
---------- - x*cos (6) - x*sin (6) + 2*x*sin (33/2)
2*sin(3*x)
−xcos⁡2(6)−xsin⁡2(6)+2xsin⁡2(332)+sin⁡(6x)2sin⁡(3x)- x \cos^{2}{\left(6 \right)} - x \sin^{2}{\left(6 \right)} + 2 x \sin^{2}{\left(\frac{33}{2} \right)} + \frac{\sin{\left(6 x \right)}}{2 \sin{\left(3 x \right)}} 
          1               2*x      
x + ------------- - ---------------
       /pi      \      2/  33   pi\
    csc|-- - 3*x|   csc |- -- + --|
       \2       /       \  2    2 /
−2xcsc⁡2(−332+π2)+x+1csc⁡(−3x+π2)- \frac{2 x}{\csc^{2}{\left(- \frac{33}{2} + \frac{\pi}{2} \right)}} + x + \frac{1}{\csc{\left(- 3 x + \frac{\pi}{2} \right)}} 
x + 1/csc(pi/2 - 3*x) - 2*x/csc(-33/2 + pi/2)^2
Respuesta numérica [src] 
0.0132767472230596*x + 0.5*sin(6*x)/sin(3*x)
0.0132767472230596*x + 0.5*sin(6*x)/sin(3*x)
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