If x^2.e^xdx=e^xf(x)+c, then the minimum value of f(x) is ..

MHT CET 2026 Mathematics question

If , then the minimum value of is ..

Answer: (C)

Integrate by parts twice (or use ): \int x^2e^xdx=x^2e^x-2\int xe^xdx=x^2e^x-2\left(xe^x-e^x\right)+c=e^x\left(x^2-2x+2\right)+c. So . The

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Question ID VK-097645