Let I_ n (x) = _ 0 ^ x dt/(t^ 2 + 5)^ n , n = 1, 2, 3, ….. Then

JEE Main 2022 Mathematics question

Let , n = 1, 2, 3, ….. Then

Answer: (1)

Integrating by parts, $ = x/ + + 2n / + = x/ + +

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Question ID VK-034694