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Solving integrals/ x*cosx/sinx

Integral of x*cosx/sinx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  x*cos(x)   
 |  -------- dx
 |   sin(x)    
 |             
/              
0
∫01xcos⁡(x)sin⁡(x) dx\int\limits_{0}^{1} \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)}}\, dx 
Integral((x*cos(x))/sin(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                    /           
 |                    |            
 | x*cos(x)           | x*cos(x)   
 | -------- dx = C +  | -------- dx
 |  sin(x)            |  sin(x)    
 |                    |            
/                    /
∫xcos⁡(x)sin⁡(x) dx=C+∫xcos⁡(x)sin⁡(x) dx\int \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)}}\, dx = C + \int \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)}}\, dx
Simplify
The answer [src] 
  1            
  /            
 |             
 |  x*cos(x)   
 |  -------- dx
 |   sin(x)    
 |             
/              
0
∫01xcos⁡(x)sin⁡(x) dx\int\limits_{0}^{1} \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)}}\, dx 
=
= 
  1            
  /            
 |             
 |  x*cos(x)   
 |  -------- dx
 |   sin(x)    
 |             
/              
0
∫01xcos⁡(x)sin⁡(x) dx\int\limits_{0}^{1} \frac{x \cos{\left(x \right)}}{\sin{\left(x \right)}}\, dx 
Integral(x*cos(x)/sin(x), (x, 0, 1))
Numerical answer [src] 
0.884116459722493
0.884116459722493

    Use the examples entering the upper and lower limits of integration.

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