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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
6
Tough
1
Year
2026
1
2025
2
2024
2
2023
2
2022
0
7 of 54 ·
show all
Q3
2026
Evaluate : $\displaystyle\int_0^1 x\tan^{-1}x\,dx$.
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Q16
2025
Find : $\int \frac{x+\sin x}{1+\cos x}\,dx$
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Q23
2025
Evaluateā¦
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Q32
2024
Find : $\int \frac{2+\sin 2x}{1+\cos 2x}\,e^x\,dx$
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Q36
2024
Find : $\int x^2 \cdot \sin^{-1}(x^{3/2})\,dx$
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Q46
2023
Evaluate : $\int_0^{\pi/2} e^x \sin x\,dx$
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Q50
2023
Find $\int e^{\cot^{-1}x}\left(\frac{1-x+x^2}{1+x^2}\right)dx$.
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