JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{e^{\sqrt{x}}}{\sqrt{x}}(x+\sqrt{x}) d x

View answer and explanation

Correct option: A

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

Option A (

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

) is correct because after substituting

x=t^2

and integrating by parts twice, we obtain the given result.

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