If where , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

If ∫sec⁡2x dxtan⁡101x+tan⁡x=g(x)+c\int \frac{\sec^2 x\,dx}{\tan^{101}x+\tan x}=g(x)+c where g(π4)=−ln⁡2100g\left(\frac{\pi}{4}\right)=-\frac{\ln 2}{100}, then lim⁡x→π/2g(x)\lim_{x\to\pi/2} g(x) is equal to (a) 0 (b) 1 (c) -1 (d) 2

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