Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

29 of 212 · show all

1. 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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2. Q14 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B2024 Set J2024 Set D2021 Set J2021 Set I2019 Set F

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

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3. 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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4. Q106 2024 Set D2024 Set J2018

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

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5. Q107 2024 Set D2024 Set J

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

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6. Q108 2024 Set D2024 Set J

   $\int e^x\left\{\sin^{-1}x+\frac{1}{\sqrt{1-x^2}}\right\}dx =$

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7. Q109 2024 Set D2024 Set J

   $\int \frac{dx}{x(x+2)} =$

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8. Q110 2024 Set D2024 Set J

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

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9. Q111 2024 Set D2024 Set J

   $\int_{-\pi/2}^{\pi/2}\sin^7 x\,dx =$

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10. Q112 2024 Set D2024 Set J

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

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11. Q113 2024 Set D2024 Set J

    $\int_{-\pi}^{\pi}\tan x\,dx =$

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12. Q114 2024 Set D

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

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13. Q115 2024 Set D2024 Set J

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

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14. Q116 2024 Set D2024 Set J

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

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15. Q117 2024 Set D

    $\int xe^{x}\,dx =$

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16. Q118 2024 Set D2024 Set J

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

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17. Q119 2024 Set D2024 Set J

    $\int\frac{\log x}{x}\,dx =$

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18. Q120 2024 Set D2024 Set J

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

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19. Q121 2024 Set D2024 Set J

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

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20. Q122 2024 Set D2024 Set J2021 Set J2021 Set I

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

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21. Q123 2024 Set D2024 Set J

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

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22. Q124 2024 Set D2024 Set J

    $\int \sec x\,dx=$

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23. Q125 2024 Set D2024 Set J

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

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24. Q126 2024 Set D2024 Set J

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

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25. Q127 2024 Set D2024 Set J

    $\int_4^9\frac{1}{\sqrt{x}}\,dx =$

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26. Q128 2024 Set D2024 Set J

    Evaluate : $\int_0^{\pi/2}\log\cos x\,dx$.

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27. Q129 2024 Set J2024 Set D2021 Set J

    $\int \frac{x^4-1}{x^2+1}\,dx =$

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28. Q130 2024 Set J

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

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29. Q131 2024 Set J

    $\int xe^x\,dx =$

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