e^x x [x( x)^2+2 x ] dx =____ - Vidyadip

MCQ

$\int \frac{e^x}{x}\left[x(\log x)^2+2 \log x\right] dx =$____

A
$e^x \log x+c$
✓
$e^x(\log x)^2+c$
C
$e^{2 x} \log x+c$
D
$e^{2 x}(\log x)^2+c$

✓

Answer

Correct option: B.

$e^x(\log x)^2+c$

$e^x(\log x)^2+c$

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