Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

4 of 212 · show all

1. Q37 2026 Set J2026 Set C2026 Set B2026 Set H

   Prove that $\int_0^{\pi/2} (\sqrt{\tan x} + \sqrt{\cot x})\, dx = \pi\sqrt{2}$.

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2. Q68 2025

   Integrate: $\int_0^1 x\log(1+2x)\,dx$

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3. Q128 2024 Set D2024 Set J

   Evaluate : $\int_0^{\pi/2}\log\cos x\,dx$.

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4. Q207 2016

   Prove that $\int_0^{\pi/2} \log \sin x\,dx = \int_0^{\pi/2} \log \cos x\,dx = -\frac{\pi}{2}\log 2$

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