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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Basic indefinite integrals
45
Definite integrals: evaluation
35
Properties of definite integrals
21
Trigonometric simplification and special forms
13
Integration by parts and special formulas
10
Integration by substitution
10
Partial fractions and rational integrals
5
Level
Easy
21
Moderate
10
Tough
3
Year
2026
4
2025
7
2024
2
2023
4
2021
3
2019
2
2018
2
2017
0
2016
0
2015
0
21 of 212 ·
show all
Q9
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int_{-2}^{2} |x|\,dx =$
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Q15
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int_0^{2\pi} |\sin x|\,dx =$
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Q24
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set B
$\int_{-\pi}^{\pi} \sin^5 x\, dx =$
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Q38
2026 Set J
$\int_{-\pi}^{\pi} \sin^3 x \, dx =$
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Q53
2025
$\int_{-1}^{1} \sin^7 x \cos^6 x\,dx =$
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Q66
2025
Integrate: $\int_2^8 |x-5|\,dx$
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Q70
2025 Set A
2021 Set J
2018
$\int_\alpha^\beta \varphi(x)\,dx + \int_\beta^\alpha \varphi(x)\,dx =$
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Q73
2025 Set A
2025 Set E
$\int_{-1}^{1}\sin^{13}x\cos^{12}x\,dx =$
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Q81
2025 Set A
2025 Set E
$\int_{-1}^{1}\sin^7 x\cos^{13}x\,dx =$
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Q88
2025 Set A
2025 Set E
$\int_{-1}^{1} \sin x \cdot \cos^3 x \, dx =$
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Q97
2025 Set E
2021 Set I
$\int_{\alpha}^{\beta}\varphi(x)dx+\int_{\beta}^{\alpha}\varphi(x)dx =$
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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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Q132
2023
$\displaystyle\int_{\pi/6}^{\pi/6} \tan\theta \, d\theta =$
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Q149
2023
2023 Set E
$\int_{-1}^{1} \sin^{17} x \cos^3 x \, dx =$
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Q159
2023 Set E
$\int_{-1}^{1}x^{17}\cos^{4}x\,dx =$
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Q161
2023 Set E
$\int_{-\pi/6}^{\pi/6}\tan\theta\,d\theta=$
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Q176
2021 Set J
2021 Set I
$\int_{-\pi/2}^{\pi/2} |\cos x|\,dx =$
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Q180
2019 Set F
$\int_2^1 \frac{dx}{x} = ?$
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Q181
2019 Set F
$\int_{-\pi/2}^{\pi/2}\sin^9x\,dx=?$
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Q190
2018
If $f(-x) = -f(x)$ then $\int_{-a}^{a} f(x)\,dx =$
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