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Integral of arcsenx/√(1+x) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src]
  1             
  /             
 |              
 |   asin(x)    
 |  --------- dx
 |    _______   
 |  \/ 1 + x    
 |              
/               
0               
$$\int\limits_{0}^{1} \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{x + 1}}\, dx$$
Integral(asin(x)/sqrt(1 + x), (x, 0, 1))
The answer (Indefinite) [src]
                           _______                                           
                         \/ 1 + x                                            
                             /                                               
  /                         |                                                
 |                          |              2                                 
 |  asin(x)                 |             u                   _______        
 | --------- dx = C - 4*    |     ------------------ du + 2*\/ 1 + x *asin(x)
 |   _______                |        _______________                         
 | \/ 1 + x                 |       /   2 /      2\                          
 |                          |     \/  -u *\-2 + u /                          
/                           |                                                
                           /                                                 
                                                                             
$$\int \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{x + 1}}\, dx = C + 2 \sqrt{x + 1} \operatorname{asin}{\left(x \right)} - 4 \int\limits^{\sqrt{x + 1}} \frac{u^{2}}{\sqrt{- u^{2} \left(u^{2} - 2\right)}}\, du$$
Numerical answer [src]
0.442882938158366
0.442882938158366

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