Mister Exam

Other calculators

1/sqrt(1-x²)
Solving integrals/ 1/sqrt(1-x²)

Integral of 1/sqrt(1-x²) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |       1        
 |  ----------- dx
 |     ________   
 |    /      2    
 |  \/  1 - x     
 |                
/                 
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{1 - x^{2}}}\, dx$$ 
Integral(1/(sqrt(1 - x^2)), (x, 0, 1))
Detail solution

    TrigSubstitutionRule(theta=_theta, func=sin(_theta), rewritten=1, substep=ConstantRule(constant=1, context=1, symbol=_theta), restriction=(x > -1) & (x < 1), context=1/(sqrt(1 - x**2)), symbol=x)

  1. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                                       
 |                                                        
 |      1                                                 
 | ----------- dx = C + ({asin(x)  for And(x > -1, x < 1))
 |    ________                                            
 |   /      2                                             
 | \/  1 - x                                              
 |                                                        
/
$$\int \frac{1}{\sqrt{1 - x^{2}}}\, dx = C + \begin{cases} \operatorname{asin}{\left(x \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
pi
--
2
$$\frac{\pi}{2}$$ 
=
= 
pi
--
2
$$\frac{\pi}{2}$$ 
pi/2
Numerical answer [src] 
1.57079632641979
1.57079632641979
The graph
Integral of 1/sqrt(1-x²) dx

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

    © Mister Exam – Calculator