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(x+arcsin(x))/sqrt(1-x^2)
Solving integrals/ (x+arcsin(x))/sqrt(1-x^2)

Integral of (x+arcsin(x))/sqrt(1-x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |  x + asin(x)   
 |  ----------- dx
 |     ________   
 |    /      2    
 |  \/  1 - x     
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{x + \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\, dx$$ 
Integral((x + asin(x))/(sqrt(1 - x^2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                           
 |                          2         ________
 | x + asin(x)          asin (x)     /      2 
 | ----------- dx = C + -------- - \/  1 - x  
 |    ________             2                  
 |   /      2                                 
 | \/  1 - x                                  
 |                                            
/
$$\int \frac{x + \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\, dx = C - \sqrt{1 - x^{2}} + \frac{\operatorname{asin}^{2}{\left(x \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      2
    pi 
1 + ---
     8
$$1 + \frac{\pi^{2}}{8}$$ 
=
= 
      2
    pi 
1 + ---
     8
$$1 + \frac{\pi^{2}}{8}$$
Упростить
Numerical answer [src] 
2.23370054917184
2.23370054917184
The graph
Integral of (x+arcsin(x))/sqrt(1-x^2) dx

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

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