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

Integral of (x²-1)/(x²+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |   2       
 |  x  - 1   
 |  ------ dx
 |   2       
 |  x  + 1   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x^{2} - 1}{x^{2} + 1}\, dx$$ 
Integral((x^2 - 1)/(x^2 + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                             
 |                              
 |  2                           
 | x  - 1                       
 | ------ dx = C + x - 2*atan(x)
 |  2                           
 | x  + 1                       
 |                              
/
$$\int \frac{x^{2} - 1}{x^{2} + 1}\, dx = C + x - 2 \operatorname{atan}{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
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 (x²-1)/(x²+1) dx

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

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