Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

10 of 212 · show all

1. Q16 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D

   $\int_0^{a} \frac{\sqrt{x}}{\sqrt{a-x}+\sqrt{x}}\,dx =$

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2. Q23 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int_0^{\pi/2} \frac{\sin x}{\sin x+\cos x}\, dx =$

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3. Q57 2025

   $\int_{-\pi/2}^{\pi/2} (x^5 + x\cos x + \sin^7 x + 1)\,dx =$

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4. Q69 20252025 Set A2025 Set E

   $\int_0^{\pi/2} \frac{\sqrt{\cos x}}{\sqrt{\sin x}+\sqrt{\cos x}}\,dx =$

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5. Q86 2025 Set A2025 Set E

   $\int_0^{\pi/2} \log\tan x\,dx =$

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6. Q139 20232023 Set E

   $\int_{-1}^{1} \log\left(\frac{3+x}{3-x}\right) \, dx =$

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7. Q150 2023

   $\int_{-1}^{1} x^{17} \, x \, dx =$

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8. Q170 2021 Set J2021 Set I

   $\int_0^{\pi/2} \log\cot\theta\,d\theta =$

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9. Q171 2021 Set J2021 Set I

   $\int_0^{\pi/2} \frac{\cos\theta}{\cos\theta+\sin\theta}\,d\theta =$

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10. Q194 2018

    Prove that $\int_0^{2\pi} |\cos x|\,dx = 4$

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