Integrals

CBSE Class 12 · Mathematics · 54 past questions

15 of 54 · show all

1. Q37 2023

   $\int 2^{x+2}\,dx$ is equal to…

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2. Q38 2023

   $\int \frac{2\cos 2x - 1}{1 + 2\sin x}\,dx$ is equal to…

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3. Q39 2023

   Evaluate…

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4. Q40 2023

   Evaluate…

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5. Q41 2023

   Find…

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6. Q42 2023

   If $\frac{d}{dx}(f(x)) = \log x$, then $f(x)$ equals…

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7. Q43 2023

   $\int_0^{\pi/6} \sec^2\left(x - \frac{\pi}{6}\right) dx$ is equal to…

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8. Q44 2023

   Evaluate : $\int_0^{\pi/2} [\log(\sin x) - \log(2\cos x)]\,dx$.

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9. Q45 2023

   Find…

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10. Q46 2023

    Evaluate : $\int_0^{\pi/2} e^x \sin x\,dx$

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11. Q47 2023

    If $\frac{d}{dx}[f(x)] = ax + b$ and $f(0) = 0$, then $f(x)$ is equal to

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12. Q48 2023

    Anti-derivative of $\frac{\tan x - 1}{\tan x + 1}$ with respect to $x$ is

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13. Q49 2023

    Evaluate $\int_0^{\pi/4} \log(1 + \tan x)\, dx$.

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14. Q50 2023

    Find $\int e^{\cot^{-1}x}\left(\frac{1-x+x^2}{1+x^2}\right)dx$.

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15. Q51 2023

    Evaluate $\int_{\log\sqrt{2}}^{\log\sqrt{3}} \frac{1}{(e^x+e^{-x})(e^x-e^{-x})}\,dx$

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