Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

10 of 212 · show all

1. Q53 2025

   $\int_{-1}^{1} \sin^7 x \cos^6 x\,dx =$

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2. Q57 2025

   $\int_{-\pi/2}^{\pi/2} (x^5 + x\cos x + \sin^7 x + 1)\,dx =$

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3. Q66 2025

   Integrate: $\int_2^8 |x-5|\,dx$

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4. Q69 20252025 Set A2025 Set E

   $\int_0^{\pi/2} \frac{\sqrt{\cos x}}{\sqrt{\sin x}+\sqrt{\cos x}}\,dx =$

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5. Q70 2025 Set A2021 Set J2018

   $\int_\alpha^\beta \varphi(x)\,dx + \int_\beta^\alpha \varphi(x)\,dx =$

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6. Q73 2025 Set A2025 Set E

   $\int_{-1}^{1}\sin^{13}x\cos^{12}x\,dx =$

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7. Q81 2025 Set A2025 Set E

   $\int_{-1}^{1}\sin^7 x\cos^{13}x\,dx =$

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8. Q86 2025 Set A2025 Set E

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

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9. Q88 2025 Set A2025 Set E

   $\int_{-1}^{1} \sin x \cdot \cos^3 x \, dx =$

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10. Q97 2025 Set E2021 Set I

    $\int_{\alpha}^{\beta}\varphi(x)dx+\int_{\beta}^{\alpha}\varphi(x)dx =$

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