`int (x^2 + 2x - 1)/(x^3 - x) dx` Evaluate the integral

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Integrate `int(x^2+2x-1)/(x^3-x)dx`

Rewrite the rational function using partial fractions.





Equate coefficients and solve for A, B, and, C.




` ` `A+B+C=1`

















The final answer is:

`=ln|[x(x-1)]/(x+1)|+C `



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