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

MHT CET 2024 Mathematics question

, where is

Answer: (B)

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

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Question ID VK-099742