Integrals

CBSE Class 12 · Mathematics · 54 past questions

7 of 54 · show all

1. Q7 2026

   (a) Evaluate : $\displaystyle\int_{\pi/12}^{5\pi/12} \dfrac{dx}{1 + \sqrt{\cot x}}$

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2. Q12 2026

   Evaluate: $\int_0^{\pi} \frac{\sin^{2026}x}{\sin^{2026}x + \cos^{2026}x}\,dx$

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3. Q33 2024

   $\int_0^{\pi/2} \frac{\sin x-\cos x}{1+\sin x\cos x}\,dx$ is equal to…

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4. Q39 2023

   Evaluate…

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5. Q44 2023

   Evaluate : $\int_0^{\pi/2} [\log(\sin x) - \log(2\cos x)]\,dx$.

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6. Q49 2023

   Evaluate $\int_0^{\pi/4} \log(1 + \tan x)\, dx$.

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7. Q54 2022

   Evaluate : $\int_0^{\pi} \frac{x}{1+\sin x}\,dx$.

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