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Resolución de integrales/ (2x-3)/ sin4(2x-3)

Integral de sin4(2x-3) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
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 |  sin (2*x - 3) dx
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∫00sin⁡4(2x−3) dx\int\limits_{0}^{0} \sin^{4}{\left(2 x - 3 \right)}\, dx 
Integral(sin(2*x - 3)^4, (x, 0, 0))
Respuesta (Indefinida) [src] 
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 |                                                             3                                                                                                                                                                                                                                                        7                                                                                  5                                                                                   8                                                                                  2                                                                                  6                                                                                  4                                         
 |    4                                                  11*tan (-3/2 + x)                                                                   3*tan(-3/2 + x)                                                                          3*x                                                                          3*tan (-3/2 + x)                                                                  11*tan (-3/2 + x)                                                                  3*x*tan (-3/2 + x)                                                                12*x*tan (-3/2 + x)                                                                12*x*tan (-3/2 + x)                                                                18*x*tan (-3/2 + x)                               
 | sin (2*x - 3) dx = C - -------------------------------------------------------------------------------- - -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + -------------------------------------------------------------------------------- + --------------------------------------------------------------------------------
 |                                 8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4                      8                   2                   6                   4          
/                         8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)   8 + 8*tan (-3/2 + x) + 32*tan (-3/2 + x) + 32*tan (-3/2 + x) + 48*tan (-3/2 + x)
∫sin⁡4(2x−3) dx=C+3xtan⁡8(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8+12xtan⁡6(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8+18xtan⁡4(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8+12xtan⁡2(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8+3x8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8+3tan⁡7(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8+11tan⁡5(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8−11tan⁡3(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8−3tan⁡(x−32)8tan⁡8(x−32)+32tan⁡6(x−32)+48tan⁡4(x−32)+32tan⁡2(x−32)+8\int \sin^{4}{\left(2 x - 3 \right)}\, dx = C + \frac{3 x \tan^{8}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{12 x \tan^{6}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{18 x \tan^{4}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{12 x \tan^{2}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{3 x}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{3 \tan^{7}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} + \frac{11 \tan^{5}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} - \frac{11 \tan^{3}{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8} - \frac{3 \tan{\left(x - \frac{3}{2} \right)}}{8 \tan^{8}{\left(x - \frac{3}{2} \right)} + 32 \tan^{6}{\left(x - \frac{3}{2} \right)} + 48 \tan^{4}{\left(x - \frac{3}{2} \right)} + 32 \tan^{2}{\left(x - \frac{3}{2} \right)} + 8}
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Gráfica
0.001.000.100.200.300.400.500.600.700.800.90-0.0500.025
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Respuesta [src] 
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Respuesta numérica [src] 
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