Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

15 of 212 · show all

1. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int \cos\sqrt{x}\,dx =$

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2. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int \frac{\tan(\sin^{-1}x)}{\sqrt{1-x^2}}\,dx =$

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3. 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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4. Q8 2026 Set A

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

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5. 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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6. 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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7. Q21 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   $\int \frac{\cos 2x}{(\sin x + \cos x)^2}\,dx =$

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8. 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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9. 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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10. Q25 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    Integrate : $\int \sec^4 x\,dx$.

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11. Q26 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    $\int \frac{dx}{e^{x}+e^{-x}} =$

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12. Q29 2026 Set C

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

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13. Q30 2026 Set C2026 Set D

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

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14. Q35 2026 Set E

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

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15. 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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