The integral _ 1/4 ^ 3/4 (2 ^ -1 1-x 1+x )dx is equal to :

JEE Main 2024 Mathematics question

The integral is equal to :

Answer: (D)

cot⁻¹√((1 − x)/(1 + x)) = tan⁻¹√((1 + x)/(1 − x)), so cos(2tan⁻¹u) = (1 − u²)/(1 + u²) with u² =

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Question ID VK-016459