e^ ^ -1 x 1+x^2 [ ( ^ -1 1+x^2 )^2+ ^ -1 ( 1-x^2 1+x^2 ) ]dx, x>0=

MHT CET 2023 Mathematics question

Answer: (A)

Put , so and with . Then and (valid since ). The integral becomes $

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Question ID VK-094779