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

MCQ

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

A
$\frac{1}{2}(1+\log x)^2+c$
B
$x^{2 x}+c$
C
$x^x \log x+c$
✓
$x^x+c$

✓

Answer

Correct option: D.

$x^x+c$

$x^x+c$

Hint: $\frac{d}{d x}(x x)=x^x(1+\log x)$

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