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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
15
Trigonometric simplification and special forms
15
Integration by substitution
13
Integration by parts and special formulas
11
Properties of definite integrals
10
Partial fractions and rational integrals
3
Basic indefinite integrals
1
Level
Easy
10
Moderate
13
Tough
0
Year
2026
2
2025
4
2024
3
2023
2
2021
0
2019
0
2018
2
2017
0
2016
0
2015
1
13 of 212 ·
show all
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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Q45
2025
$\int 2\left(\sin^{-1}(\cos x)\right)dx =$
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Q50
2025
$\int \dfrac{4x+1}{\sqrt{2x^2+x-3}}\,dx =$
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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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Q116
2024 Set D
2024 Set J
$\int \frac{x^3\,dx}{1+x^8} =$
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Q120
2024 Set D
2024 Set J
$\int\frac{\cos\sqrt{x}}{\sqrt{x}}\,dx =$
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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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Q165
2023 Set E
$\int\dfrac{3\cos x-2\sin x}{2\cos x+3\sin x}\,dx=$
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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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