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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                
  /                
 |                 
 |       x         
 |  ------------ dx
 |   3             
 |  x  - 3*x + 2   
 |                 
/                  
0                  
$$\int\limits_{0}^{1} \frac{x}{\left(x^{3} - 3 x\right) + 2}\, dx$$
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                                                   
 |                                                                
/                                                                 
$$\int \frac{x}{\left(x^{3} - 3 x\right) + 2}\, dx = C + \frac{2 \log{\left(x - 1 \right)}}{9} - \frac{2 \log{\left(x + 2 \right)}}{9} - \frac{1}{3 \left(x - 1\right)}$$
The answer [src]
     2*pi*I
oo - ------
       9   
$$\infty - \frac{2 i \pi}{9}$$
=
=
     2*pi*I
oo - ------
       9   
$$\infty - \frac{2 i \pi}{9}$$
oo - 2*pi*i/9

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