SOLUTION: Can you please solve the Integral and explain how you did it Integral of {{{ (x^2-3x)/(x+1) }}}

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Question 1142231: Can you please solve the Integral and explain how you did it
Integral of +%28x%5E2-3x%29%2F%28x%2B1%29+
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
.

Represent the function equivalently in the form


%28x%5E2-3x%29%2F%28x%2B1%29 = %28x%5E2+%2B+x%29%2F%28x%2B1%29%29 - %284x%29%2F%28x%2B1%29 = %28x%2A%28x%2B1%29%2F%28x%2B1%29%29 - %284x%2B4%29%2F%28x%2B1%29 + 4%2F%28x%2B1%29 = x - 4 + 4%2F%28x%2B1%29.


The first two terms produce the "table integrals".


The third term integral  is  4*log(|x+1|).


Do not forget to include the "arbitrary constant term C" in your final answer (!)