Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

15 of 212 · show all

1. Q7 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B

   $\int_0^1 \frac{x^3\,dx}{1+x^8} =$

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2. Q8 2026 Set A

   $\int_0^{1} x e^{x} \, dx =$

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3. Q19 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int_0^1 \frac{e^{\sqrt{x}}}{\sqrt{x}}\,dx =$

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4. Q22 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int_0^{\pi/3} \cos^3 x\, dx =$

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5. Q30 2026 Set C2026 Set D

   $\displaystyle\int_0^1 \frac{x^3\,dx}{1+x^8}=$

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6. Q35 2026 Set E

   Solve: $\int_1^2\frac{\log x}{x}dx$.

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7. Q36 2026 Set H2026 Set E2026 Set F2026 Set D2026 Set J2026 Set B2025 Set A20252025 Set E2021 Set I

   $\int_0^1 x e^x\,dx =$

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8. Q63 2025

   If $\int_0^a \frac{1}{1+4x^2}\,dx = \frac{\pi}{8}$ then find the value of $a$.

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9. Q67 2025

   Integrate: $\int_{-\pi/4}^{\pi/4} \sin^2 x\, dx$

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10. Q82 2025 Set A2025 Set E

    $\int_{0}^{1}\frac{4\tan^{-1}x}{1+x^2}\,dx =$

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11. Q84 2025 Set A2025 Set E

    $\int_0^a \frac{x\,dx}{2\sqrt{a^2-x^2}} =$

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12. Q112 2024 Set D2024 Set J

    $\int_0^{\pi/6}\cos x\cdot\cos 2x\,dx =$

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13. Q185 2019 Set F

    $\int_0^{\pi/2} \sin^3 x \cos x\,dx = ?$

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14. Q200 2017

    Evaluate $\int_0^a \frac{x\,dx}{\sqrt{a^2 - x^2}}$

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15. Q212 2015

    Evaluate $\int_0^{\pi/4} \sin^2 x\,dx$

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