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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
2
Moderate
6
Tough
0
Year
2026
1
2025
2
2024
2
2023
3
2022
0
8 of 54 ·
show all
Q5
2026
If $\int_0^{2a} \frac{1}{1+4x^2}\,dx = \frac{\pi}{6}$, then the value of a is
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Q18
2025
Evaluate : $\int_0^{\pi/4} \sqrt{1+\sin 2x}\,dx$
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Q22
2025
The value of $\int_0^1 \frac{dx}{e^x + e^{-x}}$ is…
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Q28
2024
Evaluate…
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Q30
2024
Evaluate…
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Q40
2023
Evaluate…
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Q43
2023
$\int_0^{\pi/6} \sec^2\left(x - \frac{\pi}{6}\right) dx$ is equal to…
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Q51
2023
Evaluate $\int_{\log\sqrt{2}}^{\log\sqrt{3}} \frac{1}{(e^x+e^{-x})(e^x-e^{-x})}\,dx$
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