What is \int \sqrt{x} e^{\sqrt{x}} \dx equal to ?

Correct Answer is : 2e√x(x−2√x+2)+c

2 e^{\sqrt{x}}(x-2 \sqrt{x}+2)+c

2 e^{\sqrt{x}}(x+2 \sqrt{x}+2)+c

2 e^{\sqrt{x}}(x+2 \sqrt{x}-2)+c

2 e^{\sqrt{x}}(x-2 \sqrt{x}-2)+c where c is a constant of integration.

UPSC NDA II 2010 Mathematics Paper

Question : 32 of 120

Marks: +1, -0

What is ∫√xe√x‌dx equal to ?

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