$\int \frac{e^{\sqrt{x}} c o s e^{\sqrt{x}}}{\sqrt{x}} d x =$

2 s i n e^{\sqrt{x}}

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s i n e^{\sqrt{x}}

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$2 c o s e^{\sqrt{x}}$

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- 2 s i n e^{\sqrt{x}}

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Solution

The correct option is A $2 s i n e^{\sqrt{x}}$
Put $e^{\sqrt{x}} = t \Rightarrow \frac{e^{\sqrt{x}}}{\sqrt{x}} = 2 d t,$ (Now proceed yourself).

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