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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
50
Basic indefinite integrals
46
Properties of definite integrals
34
Trigonometric simplification and special forms
28
Integration by substitution
23
Integration by parts and special formulas
22
Partial fractions and rational integrals
8
Level
Easy
10
Moderate
13
Tough
0
Year
2026
3
2025
9
2024
5
2023
3
2021
1
2019
0
2018
3
2017
0
2016
0
2015
1
23 of 212 ·
show all
Q2
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2021 Set J
2021 Set I
$\int \frac{dx}{x-1} =$
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Q5
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int \frac{\tan(\sin^{-1}x)}{\sqrt{1-x^2}}\,dx =$
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Q26
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int \frac{dx}{e^{x}+e^{-x}} =$
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Q44
2025
$\int \dfrac{(7+\log x)^2}{x}\,dx$
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Q45
2025
$\int 2\left(\sin^{-1}(\cos x)\right)dx =$
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Q48
2025
$\displaystyle\int \frac{\cos\sqrt{x}}{\sqrt{x}}\,dx =$
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Q49
2025
$\int \dfrac{3x^2}{x^6+1}\,dx =$
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Q50
2025
$\int \dfrac{4x+1}{\sqrt{2x^2+x-3}}\,dx =$
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Q56
2025
$\int \frac{\sin^{-1}x}{\sqrt{1-x^2}}\,dx$
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Q64
2025
Integrate: $\int \frac{\sin x}{3+4\cos^2 x}\,dx$
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Q72
2025 Set A
2025 Set E
$\int \dfrac{(\sqrt{x}+1)^2}{x\sqrt{x}+2x+\sqrt{x}}\,dx =$
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Q91
2025 Set A
2025 Set E
$\int \frac{dx}{x \log x} =$
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Q116
2024 Set D
2024 Set J
$\int \frac{x^3\,dx}{1+x^8} =$
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Q119
2024 Set D
2024 Set J
$\int\frac{\log x}{x}\,dx =$
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Q120
2024 Set D
2024 Set J
$\int\frac{\cos\sqrt{x}}{\sqrt{x}}\,dx =$
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Q121
2024 Set D
2024 Set J
$\int\sqrt{\cos x}\cdot\sin x\,dx =$
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Q125
2024 Set D
2024 Set J
$\int \sec^5 x\tan x\,dx=$
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Q136
2023
$\int \frac{3\cos x - 2\sin x}{2\cos x + 3\sin x} \, dx =$
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Q137
2023
2023 Set E
$\int \frac{3x^2+2}{x^3+2x} \, dx =$
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Q165
2023 Set E
$\int\dfrac{3\cos x-2\sin x}{2\cos x+3\sin x}\,dx=$
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Q187
2018
$\int x^{2}\cdot e^{x^{3}}\,dx=$
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Q192
2018
2015
$\int \dfrac{dx}{x+\sqrt{x}}$
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Q193
2018
Integrate $\int \sec^n\theta \cdot \tan\theta \, d\theta$
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