Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

20 of 212 · show all

1. Q6 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B20252019 Set F

   $\int_0^1 \frac{dx}{1+x^2} =$

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2. 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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3. Q54 2025

   $\int_0^{\pi/4} \tan x\,dx =$

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4. Q55 2025

   $\int_2^3 \frac{1}{x}\,dx =$

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5. 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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6. Q67 2025

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

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7. Q74 2025 Set A2025 Set E

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

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8. Q82 2025 Set A2025 Set E

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

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9. Q83 2025 Set A

   $\int_0^1 3x^2\,dx =$

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10. Q84 2025 Set A2025 Set E

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

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11. Q85 2025 Set A2025 Set E

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

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12. Q87 2025 Set A

    $\int_0^1 (x + 2x + 3x^2 + 4x^3)\,dx =$

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13. Q89 2025 Set A

    $100\int_{0}^{1} x^{99} \, dx =$

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14. Q90 2025 Set A

    $2\int_{1}^{9} \frac{dx}{\sqrt{x}} =$

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15. Q93 2025 Set A

    $\int_0^2 e^x\,dx =$

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16. Q100 2025 Set E

    $\int_{0}^{1}3x^{2}\,dx =$

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17. Q102 2025 Set E

    $\int_{0}^{2}e^{x}\,dx =$

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18. Q103 2025 Set E

    $\int_0^1 (x+2x+3x^2+4x^3)\,dx =$

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19. Q104 2025 Set E

    $100\int_0^1 x^{99}\,dx =$

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20. Q105 2025 Set E

    $2\int_1^9 \frac{dx}{\sqrt{x}} =$

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