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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
9
Properties of definite integrals
4
Integration by parts and special formulas
3
Trigonometric simplification and special forms
3
Basic indefinite integrals
1
Integration by substitution
1
Partial fractions and rational integrals
0
Level
Easy
9
Moderate
7
Tough
0
Year
2026
9
2025
15
2024
2
2023
1
2021
6
2019
3
2018
1
2017
1
2016
1
2015
1
9 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
$\int_0^1 \frac{dx}{1+x^2} =$
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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
$\int_0^{\pi/4} \frac{e^{\tan x}}{\cos^2 x}\,dx =$
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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
$\int_0^{\pi/2} \cos^2 x\,dx =$
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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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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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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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