If 1x 1-x 1+x dx = g(x) + c, g(1) = 0, then g(1/2) is equal to

JEE Main 2022 Mathematics question

If , g(1) = 0, then g(1/2) is equal to

Answer: (1)

g(1/2) = − x)/(1 + . Put x = cos , so − x)/(1 + and dx = −2 sin . The integral becomes $ (1/ 2θ ) θ (-2 2θ )dθ = - 4 θ / 2θ

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Question ID VK-025261