e^ x x ( x + x )dx - Vidyadip

MCQ

$\int {\frac{{{e^{\sqrt x }}}}{{\sqrt x }}} \left( {x + \sqrt x } \right)dx$

✓
$2{e^{\sqrt x }}\left[ {x - \sqrt x + 1} \right] + C$
B
${e^{\sqrt x }}\left[ {x - 2\sqrt x + 1} \right] + C$
C
${e^{\sqrt x }}\left( {x + \sqrt x } \right) + C$
D
${e^{\sqrt x }}\left( {x + \sqrt x + 1} \right) + C$

✓

Answer

Correct option: A.

$2{e^{\sqrt x }}\left[ {x - \sqrt x + 1} \right] + C$

a

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