Integrals

Bihar Board Class 12 · Mathematics · 212 past questions

22 of 212 · show all

1. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   $\int \cos\sqrt{x}\,dx =$

   Try it →
2. 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 →
3. 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 →
4. 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 →
5. Q29 2026 Set C

   $\int_0^1 x e^{x}\,dx =$

   Try it →
6. Q46 2025

   $\int e^x\left(\dfrac{1}{\sqrt{1-x^2}} + \sin^{-1}x\right)dx =$

   Try it →
7. Q47 2025

   $\int 4x\log x\,dx =$

   Try it →
8. Q51 2025

   $\int e^x[2\cos 2x+\sin 2x]\,dx =$

   Try it →
9. Q68 2025

   Integrate: $\int_0^1 x\log(1+2x)\,dx$

   Try it →
10. Q79 2025 Set A

    $\int \log x^2\,dx =$

    Try it →
11. Q98 2025 Set E

    $\int \log x^{2}\,dx =$

    Try it →
12. Q108 2024 Set D2024 Set J

    $\int e^x\left\{\sin^{-1}x+\frac{1}{\sqrt{1-x^2}}\right\}dx =$

    Try it →
13. Q110 2024 Set D2024 Set J

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

    Try it →
14. Q117 2024 Set D

    $\int xe^{x}\,dx =$

    Try it →
15. Q131 2024 Set J

    $\int xe^x\,dx =$

    Try it →
16. Q145 20232023 Set E

    $\int e^x(\cos x - \sin x)\,dx =$

    Try it →
17. Q146 20232023 Set E

    $\int e^x (x^3+3x^2)\,dx =$

    Try it →
18. Q147 2023

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

    Try it →
19. Q158 2023 Set E

    $\int e^x\left(\frac1x-\frac1{x^2}\right)dx =$

    Try it →
20. Q166 2023 Set E

    Find the value of $\int_1^2\left(\frac1x-\frac1{2x^2}\right)e^{2x}\,dx$.

    Try it →
21. Q188 2018

    $\int\dfrac{xe^{x}}{(x+1)^{2}}\,dx=$

    Try it →
22. Q201 20162015

    Integrate $\int e^x \cos x\,dx$

    Try it →