Question

How to integrate (x-1)/(x^2(x+1)) dx?

Answer 1

Would it be easier to integrate (2/x -1/x^2 -2/(x+1))?
Think partial fractions.

Answer 2

Given integrate (x-1)/(x^2(x+1)) dx
=>∫x/(x^2(x+1) dx -∫1/(x^2(x+1) dx
=>∫1/(x(x+1) dx -∫1/(x^2(x+1) dx
=>1/x+2log (x)-2 log (x+1)+c

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