Integrals

CBSE Class 12 · Mathematics · 54 past questions

10 of 54 · show all

1. Q38 2023

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

   Try it →
2. Q39 2023

   Evaluate…

   Try it →
3. Q40 2023

   Evaluate…

   Try it →
4. Q44 2023

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

   Try it →
5. Q45 2023

   Find…

   Try it →
6. Q46 2023

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

   Try it →
7. Q48 2023

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

   Try it →
8. Q49 2023

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

   Try it →
9. Q50 2023

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

   Try it →
10. Q51 2023

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

    Try it →