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x/(x^3-x)
Solving integrals/ x/(x^3-x)

Integral of x/(x^3-x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    x      
 |  ------ dx
 |   3       
 |  x  - x   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x}{x^{3} - x}\, dx$$ 
Integral(x/(x^3 - x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                                         
 |   x             log(-1 + x)   log(1 + x)
 | ------ dx = C + ----------- - ----------
 |  3                   2            2     
 | x  - x                                  
 |                                         
/
$$\int \frac{x}{x^{3} - x}\, dx = C + \frac{\log{\left(x - 1 \right)}}{2} - \frac{\log{\left(x + 1 \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
      pi*I
-oo - ----
       2
$$-\infty - \frac{i \pi}{2}$$ 
=
= 
      pi*I
-oo - ----
       2
$$-\infty - \frac{i \pi}{2}$$ 
-oo - pi*i/2
Numerical answer [src] 
-22.3920519833866
-22.3920519833866
The graph
Integral of x/(x^3-x) dx

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

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