Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

45 of 212 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   $\int (x+2)\,dx =$

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2. Q40 2025

   $\int \dfrac{dx}{\sqrt{a^2-x^2}} =$

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3. Q41 2025

   $\int x^2\left(\dfrac{1}{x^2}+1\right)dx =$

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4. Q43 2025

   $\int \text{cosec}\,x\,dx =$

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5. Q52 2025

   $\int \dfrac{dx}{\sqrt{x^2+a^2}} =$

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6. Q59 2025

   $\displaystyle\int e^{-7x}\, dx =$

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7. Q60 2025

   $\displaystyle\int (5x^4+2x+\sin x)\, dx =$

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8. Q71 2025 Set A2025 Set E

   $\int 2^{x+1}\,dx =$

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9. Q75 2025 Set A2025 Set E

   $\int\frac{dx}{x^2+4}=$

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10. Q77 2025 Set A2025 Set E

    $\int \tan(\tan^{-1}x)\,dx =$

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11. Q78 2025 Set A2025 Set E

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

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12. Q94 2025 Set A2025 Set E

    $\int e^{2\log x}\,dx =$

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13. Q95 2025 Set A2025 Set E

    $\int x^m \cdot x^n\,dx =$

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14. Q96 2025 Set A

    $\int e^3 \cdot e^x\,dx =$

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15. Q101 2025 Set E

    $\int e^{3}\cdot e^{x}\,dx =$

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16. Q107 2024 Set D2024 Set J

    $\int (x+\cos 2x)\,dx =$

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17. Q115 2024 Set D2024 Set J

    $\int \frac{dx}{2-3x} =$

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18. Q123 2024 Set D2024 Set J

    $\int \frac{dx}{a^2+x^2}=$

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19. Q124 2024 Set D2024 Set J

    $\int \sec x\,dx=$

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20. Q135 2023

    $\int (4\cos x - 5\sin x) \, dx =$

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21. Q138 20232023 Set E

    $\int \frac{dx}{x^2+5} =$

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22. Q140 20232023 Set E

    $\int \sin\frac{3x}{4}\,dx =$

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23. Q141 20232023 Set E

    $\int \cos\frac{7x}{9}\,dx =$

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24. Q142 20232023 Set E

    $\int \sec^2\frac{17x}{23}\,dx =$

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25. Q143 20232023 Set E

    $\int 4^x\,dx =$

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26. Q144 2023

    $\int x(4x^2 - 6)\,dx =$

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27. Q151 20232023 Set E

    $3 \int \sqrt{x} \, dx =$

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28. Q153 20232023 Set E

    $\int \frac{3\,dx}{\sqrt{1-9x^2}} =$

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29. Q154 20232023 Set E

    $25\int \sec 5x \tan 5x \, dx =$

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30. Q155 2023

    $\int \sec^2 4x \, dx =$

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31. Q157 2023 Set E

    $\int x(4x^2-6)\,dx =$

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32. Q160 2023 Set E

    $\int\sec^{2}4x\,dx =$

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33. Q164 2023 Set E

    $\int(4\cos x-5\sin x)\,dx=$

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34. Q178 2019 Set F

    $\int \frac{dx}{x^2+16} = ?$

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35. Q182 2019 Set F

    $\int x^n\,dx,\ (n \neq 0) = ?$

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36. Q183 2019 Set F

    $\displaystyle\int\frac{dx}{1+x^2}=\ ?$

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37. Q184 2019 Set F

    $\int \operatorname{cosec}^2 x\,dx = ?$

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38. Q186 2019 Set F

    $\int \sec x\,dx = ?$

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39. Q189 2018

    $\int\dfrac{dx}{a^{2}+x^{2}}=$

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40. Q195 2017

    $\int x^5\,dx = $ ............

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41. Q196 2017

    $\int 0\,dx = $ ............

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42. Q197 2017

    $\int \frac{dx}{x} = $ ............

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43. Q202 2016

    $\int x^8\,dx$

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44. Q203 2016

    The integration of O with respect to x is…

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45. Q208 2015

    $\int 1\cdot dx$

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