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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
7
Properties of definite integrals
5
Trigonometric simplification and special forms
5
Partial fractions and rational integrals
2
Basic indefinite integrals
1
Integration by parts and special formulas
1
Integration by substitution
1
Level
Easy
16
Moderate
6
Tough
0
Year
2026
38
2025
69
2024
29
2023
35
2021
22
2019
11
2018
10
2017
6
2016
8
2015
7
22 of 212 ·
show all
Q1
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
$\int (x+2)\,dx =$
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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
$\int \frac{dx}{x-1} =$
Try it →
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
$\int \frac{1-\cos 2x}{1+\cos 2x}\,dx =$
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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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Q18
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
$\int \log x\, dx =$
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Q21
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
$\int \frac{\cos 2x}{(\sin x + \cos x)^2}\,dx =$
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Q36
2026 Set H
2026 Set E
2026 Set F
2026 Set D
2026 Set J
2026 Set B
2025 Set A
2025
2025 Set E
2021 Set I
$\int_0^1 x e^x\,dx =$
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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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Q97
2025 Set E
2021 Set I
$\int_{\alpha}^{\beta}\varphi(x)dx+\int_{\beta}^{\alpha}\varphi(x)dx =$
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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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Q129
2024 Set J
2024 Set D
2021 Set J
$\int \frac{x^4-1}{x^2+1}\,dx =$
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Q167
2021 Set I
$\int\frac{x^4-1}{x^2+1}dx=$
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Q168
2021 Set J
2021 Set I
$\int_1^3 dx=$
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Q169
2021 Set J
2021 Set I
$\int \sin x\cdot\cos x\,dx=$
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Q170
2021 Set J
2021 Set I
$\int_0^{\pi/2} \log\cot\theta\,d\theta =$
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Q171
2021 Set J
2021 Set I
$\int_0^{\pi/2} \frac{\cos\theta}{\cos\theta+\sin\theta}\,d\theta =$
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Q172
2021 Set J
2021 Set I
$\int \dfrac{\sec x}{\sec x+\tan x}\,dx =$
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Q173
2021 Set J
2021 Set I
$\int_0^3 x\,dx =$
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Q174
2021 Set J
2021 Set I
$\int_0^2 (x^2+1)\,dx =$
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Q175
2021 Set J
2021 Set I
$\int_0^{1} \frac{dx}{x+1} =$
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Q176
2021 Set J
2021 Set I
$\int_{-\pi/2}^{\pi/2} |\cos x|\,dx =$
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Q177
2021 Set J
$\int_0^{1} e^x\,dx =$
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