Answer
$\frac 1 2 x^2+x+ln|x-1|+C$
Work Step by Step
$\int \frac {x^2}{x-1}dx$
$\int(x+1)dx+\int \frac 1 {x-1}dx$
$\frac 1 2 x^2+x+ln|x-1|+C$
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