If f'(x) e^ x^2 dx=(x-1) e^ x^2 +k, where k is constant of integration, then f(x)= .

MHT CET 2026 Mathematics question

If , where is constant of integration, then

Answer: (D)

Differentiate both sides of the given identity with respect to : . Cancel : . Integrate:

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Question ID VK-100343