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x^2/(1-x^4)

Integral of x^2/(1-x^4) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1          
  /          
 |           
 |     2     
 |    x      
 |  ------ dx
 |       4   
 |  1 - x    
 |           
/            
0            
$$\int\limits_{0}^{1} \frac{x^{2}}{1 - x^{4}}\, dx$$
Integral(x^2/(1 - x^4), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                  
 |                                                   
 |    2                                              
 |   x             atan(x)   log(-1 + x)   log(1 + x)
 | ------ dx = C - ------- - ----------- + ----------
 |      4             2           4            4     
 | 1 - x                                             
 |                                                   
/                                                    
$$\int \frac{x^{2}}{1 - x^{4}}\, dx = C - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4} - \frac{\operatorname{atan}{\left(x \right)}}{2}$$
The graph
The answer [src]
     pi*I
oo + ----
      4  
$$\infty + \frac{i \pi}{4}$$
=
=
     pi*I
oo + ----
      4  
$$\infty + \frac{i \pi}{4}$$
oo + pi*i/4
Numerical answer [src]
10.8033269099954
10.8033269099954
The graph
Integral of x^2/(1-x^4) dx

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