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Integral of arcsinx*cosx*dx dx

Limits of integration:

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The solution

You have entered [src]
 pi                  
 --                  
 4                   
  /                  
 |                   
 |  asin(x)*cos(x) dx
 |                   
/                    
0                    
$$\int\limits_{0}^{\frac{\pi}{4}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx$$
Integral(asin(x)*cos(x), (x, 0, pi/4))
The answer (Indefinite) [src]
                             /                                         
  /                         |                                          
 |                          |         sin(x)                           
 | asin(x)*cos(x) dx = C -  | --------------------- dx + asin(x)*sin(x)
 |                          |   ___________________                    
/                           | \/ -(1 + x)*(-1 + x)                     
                            |                                          
                           /                                           
$$\int \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx = C + \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} - \int \frac{\sin{\left(x \right)}}{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx$$
The answer [src]
 pi                  
 --                  
 4                   
  /                  
 |                   
 |  asin(x)*cos(x) dx
 |                   
/                    
0                    
$$\int\limits_{0}^{\frac{\pi}{4}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx$$
=
=
 pi                  
 --                  
 4                   
  /                  
 |                   
 |  asin(x)*cos(x) dx
 |                   
/                    
0                    
$$\int\limits_{0}^{\frac{\pi}{4}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx$$
Integral(asin(x)*cos(x), (x, 0, pi/4))
Numerical answer [src]
0.278422716079595
0.278422716079595

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