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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1                  
  /                  
 |                   
 |     2             
 |  3*x  + 2*x - 3   
 |  -------------- dx
 |       3           
 |      x  - x       
 |                   
/                    
0                    
$$\int\limits_{0}^{1} \frac{\left(3 x^{2} + 2 x\right) - 3}{x^{3} - x}\, dx$$
Integral((3*x^2 + 2*x - 3)/(x^3 - x), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                           
 |                                                            
 |    2                                                       
 | 3*x  + 2*x - 3                                             
 | -------------- dx = C - log(1 + x) + 3*log(x) + log(-1 + x)
 |      3                                                     
 |     x  - x                                                 
 |                                                            
/                                                             
$$\int \frac{\left(3 x^{2} + 2 x\right) - 3}{x^{3} - x}\, dx = C + 3 \log{\left(x \right)} + \log{\left(x - 1 \right)} - \log{\left(x + 1 \right)}$$
The graph
The answer [src]
nan
$$\text{NaN}$$
=
=
nan
$$\text{NaN}$$
nan
Numerical answer [src]
87.4872344352054
87.4872344352054
The graph
Integral of (3x^2+2x-3)/(x^3-x) dx

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