MHT CET 2026 Mathematics question

MathematicsIndefinite IntegrationMHT CET 2026

If then

Answer: (C)

Solution

Put , so and . Then \int f^{-1}(x)dx=\int t f'(t)dt=tf(t)-\int f(t)dt (integration by parts) . Substituting back and : $

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Question ID VK-101545