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

MCQ

$\int \frac{e^x}{x}\left(1+x \log _e x\right) d x=$

A
$\frac{e^x}{x}+c$
✓
$e^x \log x+c$
C
$\log x+c$
D
$\frac{e^x}{x} \log x+c$

✓

Answer

Correct option: B.

$e^x \log x+c$

(B)

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