Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

28 of 212 · show all

1. Q4 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int \sin^2\frac{x}{2}\,dx =$

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2. Q10 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2024 Set J2024 Set D2021 Set J2021 Set I

   $\int \frac{1-\cos 2x}{1+\cos 2x}\,dx =$

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3. Q17 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2016

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

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4. 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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5. 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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6. Q39 2025

   $\int \dfrac{dx}{\sin^2 x \cos^2 x} =$

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7. Q42 2025

   $\int \dfrac{5-3\sin x}{\cos^2 x}\,dx =$

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8. Q62 2025

   Integrate: $\int \frac{dx}{1+\cos x}$

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9. Q65 2025

   Integrate: $\int \frac{\sin^6 x+\cos^6 x}{\sin^2 x\cos^2 x}\,dx$

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10. Q76 2025 Set A2025 Set E

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

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11. Q80 2025 Set A

    $\int (\sin 3x+4\sin^3 x)\,dx =$

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12. Q99 2025 Set E

    $\int (\sin 3x + 4\sin^{3}x)\,dx =$

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13. Q106 2024 Set D2024 Set J2018

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

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14. Q114 2024 Set D

    $\int\frac{\cos2x}{\cos^2x\cdot\sin^2x}dx=$

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15. Q118 2024 Set D2024 Set J

    $\int \sqrt{1-\sin 2x}\, dx =$

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16. Q122 2024 Set D2024 Set J2021 Set J2021 Set I

    $\int \cot^2 x\,dx =$

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17. Q126 2024 Set D2024 Set J

    $\int \tan^2 x\,dx=$

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18. Q130 2024 Set J

    $\int \frac{\cos 2x}{\cos^2 x\cdot\sin^2 x}\,dx=$

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19. Q133 2023

    $\int \sin^3\theta \; \text{cosec}^2\theta \, d\theta =$

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20. Q134 2023

    $\int (\cos\theta \, \text{cosec}^2\theta - \cos\theta \, \cot^2\theta) \, d\theta =$

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21. Q162 2023 Set E

    $\int\sin^3\theta\,\operatorname{cosec}^2\theta\,d\theta=$

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22. Q163 2023 Set E

    $\int(\cos\theta\operatorname{cosec}^2\theta-\cos\theta\cot^2\theta)\,d\theta=$

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23. Q169 2021 Set J2021 Set I

    $\int \sin x\cdot\cos x\,dx=$

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24. Q172 2021 Set J2021 Set I

    $\int \dfrac{\sec x}{\sec x+\tan x}\,dx =$

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25. Q199 2017

    Integrate $\int \sin^2 x \cdot \cos^2 x \, dx$

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26. Q204 2016

    $\int\frac{dx}{1-\sin x}=$

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27. Q206 2016

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

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28. Q209 2015

    $\int\dfrac{dx}{1+\cos x}=$

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