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$\int \frac{e^{\sqrt{x}} \cos (e^{\sqrt{x}})}{\sqrt{x}} d x =$

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2sin⁡ex+c

sin⁡ex+c

2cos⁡ex+c

−2sin⁡ex+c

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detailed solution

Correct option is A

Put ex=t⇒exx=2dt⇒∫excos⁡exxdx=2∫cos⁡tdt=2sin⁡t+c=2sin⁡ex+c

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