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(1-x^2)/(1+x^2)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1          
  /          
 |           
 |       2   
 |  1 - x    
 |  ------ dx
 |       2   
 |  1 + x    
 |           
/            
0            
$$\int\limits_{0}^{1} \frac{1 - x^{2}}{x^{2} + 1}\, dx$$
Integral((1 - x^2)/(1 + x^2), (x, 0, 1))
The answer (Indefinite) [src]
  /                             
 |                              
 |      2                       
 | 1 - x                        
 | ------ dx = C - x + 2*atan(x)
 |      2                       
 | 1 + x                        
 |                              
/                               
$$\int \frac{1 - x^{2}}{x^{2} + 1}\, dx = C - x + 2 \operatorname{atan}{\left(x \right)}$$
The graph
The answer [src]
     pi
-1 + --
     2 
$$-1 + \frac{\pi}{2}$$
=
=
     pi
-1 + --
     2 
$$-1 + \frac{\pi}{2}$$
-1 + pi/2
Numerical answer [src]
0.570796326794897
0.570796326794897
The graph
Integral of (1-x^2)/(1+x^2) dx

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