What is the integral of $int xlnx dx$ ?

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Answer 1 · 2016-07-03T11:17:11

$= x^2/2 ln x - x^2/4 + C$

we use IBP

$int u v' = uv - int u' v$

$u = ln x, u' = 1/x$
$v' = x, v = x^2/2$

$= x^2/2 ln x - int dx qquad x/2$

$= x^2/2 ln x - x^2/4 + C$

What is the integral of int xlnx dx int xlnx dx ?