x^x(1+ x) d x - Vidyadip

Question

$\int x^x(1+\log x) d x$

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Answer

$\text { Since } \frac{ d }{ d x}\left(x^x\right)= x ^{ x }(1+\log x )$
$\int x^x(1+\log x) d x= x ^{ x }+ c $

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