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1/(1-x^3)
Solving integrals/ 1/(1-x^3)

Integral of 1/(1-x^3) dx

Limits of integration:

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v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    1      
 |  ------ dx
 |       3   
 |  1 - x    
 |           
/            
0
$$\int\limits_{0}^{1} \frac{1}{1 - x^{3}}\, dx$$ 
Integral(1/(1 - x^3), (x, 0, 1))
The answer (Indefinite) [src] 
                                                             /    ___          \
  /                                                  ___     |2*\/ 3 *(1/2 + x)|
 |                                  /         2\   \/ 3 *atan|-----------------|
 |   1             log(-1 + x)   log\1 + x + x /             \        3        /
 | ------ dx = C - ----------- + --------------- + -----------------------------
 |      3               3               6                        3              
 | 1 - x                                                                        
 |                                                                              
/
$$\int \frac{1}{1 - x^{3}}\, dx = C - \frac{\log{\left(x - 1 \right)}}{3} + \frac{\log{\left(x^{2} + x + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \left(x + \frac{1}{2}\right)}{3} \right)}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
     pi*I
oo + ----
      3
$$\infty + \frac{i \pi}{3}$$ 
=
= 
     pi*I
oo + ----
      3
$$\infty + \frac{i \pi}{3}$$ 
oo + pi*i/3
Numerical answer [src] 
15.1823875375555
15.1823875375555
The graph
Integral of 1/(1-x^3) dx

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

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