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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
0
Moderate
9
Tough
1
Year
2026
3
2025
2
2024
3
2023
1
2022
1
10 of 54 ·
show all
Q4
2026
Find $\displaystyle\int\sqrt{\dfrac{x+2}{x-2}}\,dx$
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Q6
2026
Find : $\displaystyle\int \dfrac{x + 2}{\sqrt{9x - x^2}}\, dx$
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Q11
2026
Find…
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Q19
2025
Find : $\int \frac{1}{x}\sqrt{\frac{x+a}{x-a}}\,dx$.
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Q20
2025
Find : $\int \frac{x^2+x+1}{(x+2)(x^2+1)}\,dx$.
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Q27
2024
Find…
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Q31
2024
Find : $\int \frac{x^2+1}{(x^2+2)(x^2+4)}\,dx$
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Q35
2024
Evaluate : $\int_{-2}^{2}\sqrt{\frac{2-x}{2+x}}\,dx$
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Q45
2023
Find…
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Q53
2022
Find : $\int\frac{dx}{\sqrt{x}+\sqrt[3]{x}}$.
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