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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Basic indefinite integrals
4
Integration by parts and special formulas
4
Trigonometric simplification and special forms
4
Definite integrals: evaluation
2
Integration by substitution
2
Properties of definite integrals
2
Partial fractions and rational integrals
1
Level
Easy
19
Moderate
9
Tough
1
Year
2026
21
2025
44
2024
19
2023
26
2021
16
2019
10
2018
6
2017
4
2016
5
2015
4
19 of 212 ·
show all
Q10
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2024 Set J
2024 Set D
2021 Set J
2021 Set I
$\int \frac{1-\cos 2x}{1+\cos 2x}\,dx =$
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 →
Q106
2024 Set D
2024 Set J
2018
$\int\sqrt{1+\cos 2x}\,dx=$
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Q107
2024 Set D
2024 Set J
$\int (x+\cos 2x)\,dx =$
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Q108
2024 Set D
2024 Set J
$\int e^x\left\{\sin^{-1}x+\frac{1}{\sqrt{1-x^2}}\right\}dx =$
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Q109
2024 Set D
2024 Set J
$\int \frac{dx}{x(x+2)} =$
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Q110
2024 Set D
2024 Set J
$\int \sqrt{a^2-x^2}\,dx =$
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Q111
2024 Set D
2024 Set J
$\int_{-\pi/2}^{\pi/2}\sin^7 x\,dx =$
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Q113
2024 Set D
2024 Set J
$\int_{-\pi}^{\pi}\tan x\,dx =$
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Q115
2024 Set D
2024 Set J
$\int \frac{dx}{2-3x} =$
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Q117
2024 Set D
$\int xe^{x}\,dx =$
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Q119
2024 Set D
2024 Set J
$\int\frac{\log x}{x}\,dx =$
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Q121
2024 Set D
2024 Set J
$\int\sqrt{\cos x}\cdot\sin x\,dx =$
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Q122
2024 Set D
2024 Set J
2021 Set J
2021 Set I
$\int \cot^2 x\,dx =$
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Q123
2024 Set D
2024 Set J
$\int \frac{dx}{a^2+x^2}=$
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Q124
2024 Set D
2024 Set J
$\int \sec x\,dx=$
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Q126
2024 Set D
2024 Set J
$\int \tan^2 x\,dx=$
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Q127
2024 Set D
2024 Set J
$\int_4^9\frac{1}{\sqrt{x}}\,dx =$
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Q131
2024 Set J
$\int xe^x\,dx =$
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