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← Bihar Board Class 12 PYQ
Integrals
Bihar Board Class 12 · Mathematics · 212 past questions
Topic
Definite integrals: evaluation
16
Properties of definite integrals
7
Integration by parts and special formulas
5
Trigonometric simplification and special forms
5
Integration by substitution
3
Basic indefinite integrals
1
Partial fractions and rational integrals
0
Level
Easy
4
Moderate
2
Tough
1
Year
2026
7
2025
10
2024
4
2023
6
2021
5
2019
2
2018
3
2017
0
2016
1
2015
0
7 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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Q16
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
$\int_0^{a} \frac{\sqrt{x}}{\sqrt{a-x}+\sqrt{x}}\,dx =$
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Q23
2026 Set A
2026 Set H
2026 Set E
2026 Set C
2026 Set F
2026 Set D
2026 Set J
2026 Set B
$\int_0^{\pi/2} \frac{\sin x}{\sin x+\cos x}\, dx =$
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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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Q37
2026 Set J
2026 Set C
2026 Set B
2026 Set H
Prove that $\int_0^{\pi/2} (\sqrt{\tan x} + \sqrt{\cot x})\, dx = \pi\sqrt{2}$.
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Q38
2026 Set J
$\int_{-\pi}^{\pi} \sin^3 x \, dx =$
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