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Integral of (xcos(x))/(sin(x)×sin(x)×sin(x)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
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 |        x*cos(x)         
 |  -------------------- dx
 |  sin(x)*sin(x)*sin(x)   
 |                         
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00xcos(x)sin(x)sin(x)sin(x)dx\int\limits_{0}^{0} \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)} \sin{\left(x \right)} \sin{\left(x \right)}}\, dx
Integral((x*cos(x))/(((sin(x)*sin(x))*sin(x))), (x, 0, 0))
The answer (Indefinite) [src]
  /                                                /x\                    2/x\
 |                                              tan|-|               x*tan |-|
 |       x*cos(x)                x      1          \2/       x             \2/
 | -------------------- dx = C - - - -------- + ------ - --------- - ---------
 | sin(x)*sin(x)*sin(x)          4        /x\     4           2/x\       8    
 |                                   4*tan|-|            8*tan |-|            
/                                         \2/                  \2/            
xcos(x)sin(x)sin(x)sin(x)dx=Cxtan2(x2)8x4x8tan2(x2)+tan(x2)414tan(x2)\int \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)} \sin{\left(x \right)} \sin{\left(x \right)}}\, dx = C - \frac{x \tan^{2}{\left(\frac{x}{2} \right)}}{8} - \frac{x}{4} - \frac{x}{8 \tan^{2}{\left(\frac{x}{2} \right)}} + \frac{\tan{\left(\frac{x}{2} \right)}}{4} - \frac{1}{4 \tan{\left(\frac{x}{2} \right)}}
The graph
-0.010-0.008-0.006-0.004-0.0020.0100.0000.0020.0040.0060.0080.00
The answer [src]
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Numerical answer [src]
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    Use the examples entering the upper and lower limits of integration.