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← CBSE Class 12 PYQ
Integrals
CBSE Class 12 · Mathematics · 54 past questions
Topic
Partial fractions and algebraic integrals
3
Basic and standard indefinite integrals
2
Definite integrals by direct evaluation
2
Definite integrals with properties
2
Integration by parts and special forms
2
Substitution and trigonometric integrals
1
Level
Easy
4
Moderate
7
Tough
1
Year
2026
13
2025
11
2024
12
2023
15
2022
3
12 of 54 ·
show all
Q25
2024
$\displaystyle\int_a^b f(x)\,dx$ is equal to…
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Q26
2024
Find : $\int x\sqrt{1 + 2x}\,dx$
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Q27
2024
Find…
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Q28
2024
Evaluate…
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Q29
2024
$\int_{-a}^{a} f(x)\,dx = 0$, if…
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Q30
2024
Evaluate…
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Q31
2024
Find : $\int \frac{x^2+1}{(x^2+2)(x^2+4)}\,dx$
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Q32
2024
Find : $\int \frac{2+\sin 2x}{1+\cos 2x}\,e^x\,dx$
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Q33
2024
$\int_0^{\pi/2} \frac{\sin x-\cos x}{1+\sin x\cos x}\,dx$ is equal to…
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Q34
2024
Find : $\displaystyle\int \dfrac{e^{4x} - 1}{e^{4x} + 1}\,dx$
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Q35
2024
Evaluate : $\int_{-2}^{2}\sqrt{\frac{2-x}{2+x}}\,dx$
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Q36
2024
Find : $\int x^2 \cdot \sin^{-1}(x^{3/2})\,dx$
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