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Solving integrals/ x/(x^3-3x+2)

Integral of x/(x^3-3x+2) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |       x         
 |  ------------ dx
 |   3             
 |  x  - 3*x + 2   
 |                 
/                  
0
∫01x(x3−3x)+2 dx\int\limits_{0}^{1} \frac{x}{\left(x^{3} - 3 x\right) + 2}\, dx 
Integral(x/(x^3 - 3*x + 2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                               
 |                                                                
 |      x                2*log(2 + x)       1        2*log(-1 + x)
 | ------------ dx = C - ------------ - ---------- + -------------
 |  3                         9         3*(-1 + x)         9      
 | x  - 3*x + 2                                                   
 |                                                                
/
∫x(x3−3x)+2 dx=C+2log⁡(x−1)9−2log⁡(x+2)9−13(x−1)\int \frac{x}{\left(x^{3} - 3 x\right) + 2}\, dx = C + \frac{2 \log{\left(x - 1 \right)}}{9} - \frac{2 \log{\left(x + 2 \right)}}{9} - \frac{1}{3 \left(x - 1\right)}
Simplify
The answer [src] 
     2*pi*I
oo - ------
       9
∞−2iπ9\infty - \frac{2 i \pi}{9} 
=
= 
     2*pi*I
oo - ------
       9
∞−2iπ9\infty - \frac{2 i \pi}{9} 
oo - 2*pi*i/9

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

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