How do you use integration by parts to find $intln(x) dx$ ?

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Answer 1 · 2014-09-22T22:55:48

By Integration by Parts: $int udv=uv-int vdu$ ,

Let $u=lnx$ and $dv=dx$ .
$Rightarrow du=dx/x$ and $v=x$

$int lnx dx=xlnx-int dx=xlnx-x+C$ ,

where C is a constant.

How do you use integration by parts to find intln(x) dxintln(x) dx?