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← CBSE Class 12 PYQ
Integrals
CBSE Class 12 · Mathematics · 54 past questions
Topic
Definite integrals with properties
12
Basic and standard indefinite integrals
10
Partial fractions and algebraic integrals
10
Definite integrals by direct evaluation
8
Integration by parts and special forms
7
Substitution and trigonometric integrals
7
Level
Easy
1
Moderate
4
Tough
2
Year
2026
1
2025
2
2024
1
2023
3
2022
0
7 of 54 ·
show all
Q13
2026
Find: $\int \frac{\cos x}{(2+\sin x)(4+\sin x)}\,dx$
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Q21
2025
$\int \frac{\cos 2x - \cos 2\alpha}{\cos x - \cos \alpha}\,dx$ is equal to…
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Q24
2025
Find…
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Q26
2024
Find : $\int x\sqrt{1 + 2x}\,dx$
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Q38
2023
$\int \frac{2\cos 2x - 1}{1 + 2\sin x}\,dx$ is equal to…
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Q41
2023
Find…
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Q48
2023
Anti-derivative of $\frac{\tan x - 1}{\tan x + 1}$ with respect to $x$ is
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