Integrals

CBSE Class 12 · Mathematics · 54 past questions

12 of 54 · show all

1. Q2 2026

   The value of $\int_{-1}^{1} \frac{x^3}{x^2 + 2|x| + 1}\,dx$ is

   Try it →
2. Q7 2026

   (a) Evaluate : $\displaystyle\int_{\pi/12}^{5\pi/12} \dfrac{dx}{1 + \sqrt{\cot x}}$

   Try it →
3. Q10 2026

   $\int_{-1}^{1}(1-|x|)\,dx$ is equal to…

   Try it →
4. Q12 2026

   Evaluate: $\int_0^{\pi} \frac{\sin^{2026}x}{\sin^{2026}x + \cos^{2026}x}\,dx$

   Try it →
5. Q14 2025

   $\int_{-1}^{1} \frac{|x|}{x}\, dx$, $x \neq 0$ is equal to

   Try it →
6. Q17 2025

   If $f(2a - x) = f(x)$, then $\displaystyle\int_0^{2a} f(x)\,dx$ is

   Try it →
7. Q29 2024

   $\int_{-a}^{a} f(x)\,dx = 0$, if…

   Try it →
8. Q33 2024

   $\int_0^{\pi/2} \frac{\sin x-\cos x}{1+\sin x\cos x}\,dx$ is equal to…

   Try it →
9. Q39 2023

   Evaluate…

   Try it →
10. Q44 2023

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

    Try it →
11. Q49 2023

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

    Try it →
12. Q54 2022

    Evaluate : $\int_0^{\pi} \frac{x}{1+\sin x}\,dx$.

    Try it →