Correct option is 3(2x−4x+4)ex+C

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

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ex+C

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Correct option is C

Let,=∫xexdxPut x=t⇒12xdx=dt∴ I=2∫t2etdt=2t2et−2∫tetdt=2t2et−2tet−et+C=2t2et−2tet+2et+C=(2x−4x+4)ex+C

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∫xexdx is equal to

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