Definite Integration
VITEEE / Mathematics / Calculus / 6 questions
MathematicsCalculus6 PYQs
Practice 6 VITEEE Mathematics questions from Definite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
6
PYQs on Page
Mathematics / Calculus
2021-2025
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6
Last 5 Years
2021-2025
6
Last 10 Years
2016-2025
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2021
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6PYQs
MCQ100%
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#1 Unknown6
6 in last 5 years6 in last 10 years
Definite Integration Questions
Showing 6 of 6 questions on this page.
1Definite Integration
Let $f$ be a non-negative function defined on the interval $[0,1]$. If $\int_0^x \sqrt{1-(f(t))^2} d t =\int_0^x f(t) d t, 0 \leq x \leq 1$ and $f(0)=0$, then
MCQ+4 / -12025
2Definite Integration
\(\int_0^\pi\left[\cos ^2\left(\frac{3 \pi}{8}-\frac{x}{4}\right)-\cos ^2\left(\frac{11 \pi}{8}+\frac{x}{4}\right)\right] d x\) equals to
MCQ+4 / -12024
3Definite Integration
\(\lim _\limits{n \rightarrow \infty}\left(\frac{(n+1)(n+2) \ldots 3 n}{n^{2 n}}\right)^{1 / n}\) is equal to
MCQ+4 / -12023
4Definite Integration
The value of \(\int_\lambda^{\lambda+\pi / 2}\left(\cos ^4 x+\sin ^4 x\right) d x\) is
MCQ+4 / -12023
5Definite Integration
If \(X \phi(x)=\int_\limits5^x 3 t^2-2 \phi(t) d t, x>-2\) and \(\phi(0)=4\), then \(\phi(2)\) is
MCQ+4 / -12022
6Definite Integration
The value of \(\int\limits_0^{\pi / 2} \frac{d x}{1+\tan x}\) is
MCQ+4 / -12021
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