Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

21 of 212 · show all

1. Q1 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

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

   Try it →
2. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

   $\int \frac{dx}{x-1} =$

   Try it →
3. Q4 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

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

   Try it →
4. Q6 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B20252019 Set F

   $\int_0^1 \frac{dx}{1+x^2} =$

   Try it →
5. Q9 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int_{-2}^{2} |x|\,dx =$

   Try it →
6. 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

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

   Try it →
7. Q11 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int e^x\left(\tan^{-1}x + \frac{1}{1+x^2}\right)dx =$

   Try it →
8. Q12 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B

   $\int_1^e \frac{(\log x)^2}{x}\,dx =$

   Try it →
9. Q13 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B

   $\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx =$

   Try it →
10. Q14 2026 Set A2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B2024 Set J2024 Set D2021 Set J2021 Set I2019 Set F

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

    Try it →
11. Q15 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    $\int_0^{2\pi} |\sin x|\,dx =$

    Try it →
12. Q17 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2016

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

    Try it →
13. Q18 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2021 Set J2021 Set I

    $\int \log x\, dx =$

    Try it →
14. Q20 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    $\int_1^4 \frac{dx}{\sqrt{x}} =$

    Try it →
15. Q24 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set B

    $\int_{-\pi}^{\pi} \sin^5 x\, dx =$

    Try it →
16. Q27 2026 Set A2026 Set H2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    Solve : $\int_1^2 \frac{\log x}{x}\,dx$.

    Try it →
17. Q28 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

    $\int_0^a \sqrt{a^2 - x^2}\,dx =$

    Try it →
18. Q31 2026 Set C2026 Set D

    $\displaystyle\int_1^e \frac{(\log x)^2}{x}\,dx=$

    Try it →
19. Q32 2026 Set C2026 Set D

    $\displaystyle\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx=$

    Try it →
20. Q34 2026 Set D

    $\cos^2 x\,dx$ integrated from $0$ to $\pi/2$: $\int_0^{\pi/2} \cos^2 x\, dx =$

    Try it →
21. Q38 2026 Set J

    $\int_{-\pi}^{\pi} \sin^3 x \, dx =$

    Try it →