If f(x) = x^2 + ^2 x 1 + x^2 ^2 x ,dx and f(0) = 0, then f(1) =

MHT CET 2022 Mathematics question

If f(x) = and f(0) = 0, then f(1) =

Answer: (D)

Write , so . Then . Integrating, \tan\tan^{-1}$x

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Question ID VK-094048