Definite Integration PYQs - Last 5 Years
MHT CET / Mathematics / Calculus / 108 recent questions
MathematicsCalculus2022-2026
Practice 108 MHT CET Mathematics questions from Definite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
108
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Mathematics / Calculus
2022-2026
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Based on indexed question metadata
108
Last 5 Years
2022-2026
108
Last 10 Years
2017-2026
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MCQ100%
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#1 Unknown108
108 in last 5 years108 in last 10 years
Last 5 Years Definite Integration Questions
Showing 8 of 108 filtered questions.
1Definite Integration
Let \(f:[-1,2] \rightarrow[0, \infty)\) be a continuous function such that \(\mathrm{f}(x)=\mathrm{f}(1-x), \forall x \in[-1,2]\)
Let \(\mathrm{R}_1=\int_{-1}^2 x \mathrm{f}(x) \mathrm{d} x\) and \(\mathrm{R}_2\) be the area of the region b...
Let \(\mathrm{R}_1=\int_{-1}^2 x \mathrm{f}(x) \mathrm{d} x\) and \(\mathrm{R}_2\) be the area of the region b...
MCQ+2 / -02023
2Definite Integration
If \(\int_\limits0^{\frac{1}{2}} \frac{x^2}{\left(1-x^2\right)^{\frac{3}{2}}} \mathrm{~d} x=\frac{\mathrm{k}}{6}\), then the value of \(\mathrm{k}\) is
MCQ+2 / -02023
3Definite Integration
\(\int_\limits0^1 \cos ^{-1} x d x=\)
MCQ+2 / -02023
4Definite Integration
\(\int_\limits 0^\pi \frac{x \tan x}{\sec x+\cos x} d x=\)
MCQ+2 / -02023
5Definite Integration
Let \(\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R}\) and \(\mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}\) be continuous functions. Then the value of the integral $$\int_\limits{\frac{-\pi}{2}}^{\frac{\pi}{2}}[\mathrm{f}(x)+\mathrm{f}(-x)]...
MCQ+2 / -02023
6Definite Integration
\(\int_\limits0^2[x] \mathrm{d} x+\int_\limits0^2|x-1| \mathrm{d} x=\)
(where \([x]\) denotes the greatest integer function.)
(where \([x]\) denotes the greatest integer function.)
MCQ+2 / -02022
7Definite Integration
The value of the integral \(\int_\limits0^1 \sqrt{\frac{1-x}{1+x}} \mathrm{~d} x\) is
MCQ+2 / -02022
8Definite Integration
\(\int_\limits{\frac{\pi}{4}}^{\frac{3 \pi}{4}} \frac{\mathrm{d} x}{1+\cos x}\) is equal to
MCQ+2 / -02022