Use integration by parts to evaluate the integral:
∫
ln
(
z
)
⋅
z
11
d
z
\displaystyle \int{\ln{{\left({z}\right)}}}\cdot\sqrt{{{z}^{{11}}}}{\left.{d}{z}\right.}
∫
ln
(
z
)
⋅
z
11
d
z
=
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