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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
16
Properties of definite integrals
7
Integration by parts and special formulas
5
Trigonometric simplification and special forms
5
Integration by substitution
3
Basic indefinite integrals
1
Partial fractions and rational integrals
0
Level
Easy
9
Moderate
7
Tough
0
Year
2026
16
2025
20
2024
3
2023
1
2021
7
2019
4
2018
1
2017
2
2016
1
2015
2
16 of 212 ·
show all
Q6
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2025
2019 Set F
$\int_0^1 \frac{dx}{1+x^2} =$
Try it →
Q7
2026 Set A
2026 Set H
2026 Set E
2026 Set F
2026 Set J
2026 Set B
$\int_0^1 \frac{x^3\,dx}{1+x^8} =$
Try it →
Q8
2026 Set A
$\int_0^{1} x e^{x} \, dx =$
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Q12
2026 Set A
2026 Set H
2026 Set E
2026 Set F
2026 Set J
2026 Set B
$\int_1^e \frac{(\log x)^2}{x}\,dx =$
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Q13
2026 Set A
2026 Set H
2026 Set E
2026 Set F
2026 Set J
2026 Set B
$\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx =$
Try it →
Q14
2026 Set A
2026 Set H
2026 Set E
2026 Set F
2026 Set J
2026 Set B
2024 Set J
2024 Set D
2021 Set J
2021 Set I
2019 Set F
$\int_0^{\pi/2} \cos^2 x\,dx =$
Try it →
Q19
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int_0^1 \frac{e^{\sqrt{x}}}{\sqrt{x}}\,dx =$
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Q20
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int_1^4 \frac{dx}{\sqrt{x}} =$
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Q22
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int_0^{\pi/3} \cos^3 x\, dx =$
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Q27
2026 Set A
2026 Set H
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
Solve : $\int_1^2 \frac{\log x}{x}\,dx$.
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Q30
2026 Set C
2026 Set D
$\displaystyle\int_0^1 \frac{x^3\,dx}{1+x^8}=$
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Q31
2026 Set C
2026 Set D
$\displaystyle\int_1^e \frac{(\log x)^2}{x}\,dx=$
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Q32
2026 Set C
2026 Set D
$\displaystyle\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx=$
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Q34
2026 Set D
$\cos^2 x\,dx$ integrated from $0$ to $\pi/2$: $\int_0^{\pi/2} \cos^2 x\, dx =$
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Q35
2026 Set E
Solve: $\int_1^2\frac{\log x}{x}dx$.
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Q36
2026 Set H
2026 Set E
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2025 Set A
2025
2025 Set E
2021 Set I
$\int_0^1 x e^x\,dx =$
Try it →