_ ^ e^ x e^ x x dx = - Vidyadip

MCQ

$\int_{}^{} {\frac{{{e^{\sqrt x }}\cos {e^{\sqrt x }}}}{{\sqrt x }}dx} = $

✓
$2\sin {e^{\sqrt x }}$
B
$\sin {e^{\sqrt x }}$
C
$2\cos {e^{\sqrt x }}$
D
$ - 2\sin {e^{\sqrt x }}$

✓

Answer

Correct option: A.

$2\sin {e^{\sqrt x }}$

a
(a) Put ${e^{\sqrt x }} = t \Rightarrow \frac{{{e^{\sqrt x }}}}{{\sqrt x }} = \,2dt$, (Now proceed yourself).

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