When I compute the indefinite integral of ln(x + x^2), I get 2 answers from 2 different methods.
First method: integration by parts => u-substitution Answer = xln(x + x^2) - 2 (x + 1) + ln l x + 1 l + C
Second method: integration by parts => long division Answer = xln(x + x^2) - 2x + ln l x + 1 l + C
I think both are correct, since they only differ by a constant term. Do I get the same mark in exam if I give either of those?