Definite Integration PYQs - Last 10 Years
KCET / Mathematics / Calculus / 31 recent questions
MathematicsCalculus2017-2026
Practice 31 KCET Mathematics questions from Definite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
31
PYQs on Page
Mathematics / Calculus
2017-2026
Year Range
Based on indexed question metadata
15
Last 5 Years
2022-2026
31
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
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2026Latest year
20215 max PYQs/year2026
Question Types
31PYQs
MCQ100%
Difficulty Mix
#1 Unknown31
15 in last 5 years31 in last 10 years
Last 10 Years Definite Integration Questions
Showing 31 of 31 filtered questions.
1Definite Integration
One of the possible functions $f(x)$ which satisfies $\int\limits_{-2}^{2} f(x)\,dx = 0$ is
MCQ+1 / -02026
2Definite Integration
$\int\limits_{a-6}^{b-6} f(x + 6)\,dx$ is equal to
MCQ+1 / -02026
3Definite Integration
$\int_0^1 \log \left(\frac{1}{x}-1\right) d x$ is
MCQ+1 / -02025
4Definite Integration
\(\text { The value of } \int_0^{2 \pi} \sqrt{1+\sin \left(\frac{x}{2}\right)} d x \text { is }\)
MCQ+1 / -02025
5Definite Integration
The value of $\int_{-1}^1 \sin ^5 \mathrm{x} \cos ^4 \mathrm{xdx}$ is
MCQ+1 / -02025
6Definite Integration
$\int_{-\pi}^\pi\left(1-x^2\right) \sin x \cdot \cos ^2 x d x$ is
MCQ+1 / -02024
7Definite Integration
$\int\limits_1^5(|x-3|+|1-x|) d x=$
MCQ+1 / -02024
8Definite Integration
\(\int\limits_0^\pi \frac{x \tan x}{\sec x \cdot \operatorname{cosec} x} d x\) is equals to
MCQ+1 / -02023
9Definite Integration
\(\int_{-2}^0\left(x^3+3 x^2+3 x+3+(x+1) \cos (x+1)\right) d x\) is equals to
MCQ+1 / -02023
10Definite Integration
\(\int\limits_2^8 \frac{5^{\sqrt{10-x}}}{5^{\sqrt{x}}+5^{\sqrt{10-x}}} d x \text { is equals to :}\)
MCQ+1 / -02023
11Definite Integration
\(\int_0^{\pi / 2} \frac{\cos x \sin x}{1+\sin x} d x\) is equal to
MCQ+1 / -02022
12Definite Integration
Evaluate \(\int_\limits2^3 x^2 d x\) as the limit of a sum
MCQ+1 / -02022
13Definite Integration
\(\int_0^1 \frac{x e^x}{(2+x)^3} d x\) is equal to
MCQ+1 / -02022
14Definite Integration
\(\int_0^{\pi / 2} \sqrt{\sin \theta} \cos ^3 \theta d \theta\) is equal to
MCQ+1 / -02022
15Definite Integration
If \([x]\) is the greatest integer function not greater than \(x\), then \(\int_\limits0^8[x] d x\) is equal to
MCQ+1 / -02022
16Definite Integration
If \(I_n=\int_0^{\frac{\pi}{4}} \tan ^n x d x\), where \(n\) is positive integer, then \(I_{10}+I_8\) is equal to
MCQ+1 / -02021
17Definite Integration
The value of \(\int_0^{4042} \frac{\sqrt{x} d x}{\sqrt{x}+\sqrt{4042-x}}\) is equal to
MCQ+1 / -02021
18Definite Integration
The value of \(\int_{-\pi / 2}^{\pi / 2} \frac{\cos x}{1+e^x} d x\) is
MCQ+1 / -02020
19Definite Integration
The value of \(\int_{-1 / 2}^{1 / 2} \cos ^{-1} x d x\) is
MCQ+1 / -02020
20Definite Integration
Find the value of \(\int_0^1 \frac{\log (1+x)}{1+x^2} d x\) is
MCQ+1 / -02020
21Definite Integration
\(\int_\limits0^1 \sqrt{\frac{1+x}{1-x}} d x=\)
MCQ+1 / -02019
22Definite Integration
\(\int_\limits0^2\left[x^2\right] d x=\)
MCQ+1 / -02019
23Definite Integration
\(\int_\limits{-3}^3 \cot ^{-1} x d x=\)
MCQ+1 / -02019
24Definite Integration
$\int_0^1 \frac{d x}{e^x+e^{-x}}$ is equal to
MCQ+1 / -02018
25Definite Integration
$ \int_0^{1 / 2} \frac{d x}{\left(1+x^2\right) \sqrt{1-x^2}}$ is equal to
MCQ+1 / -02018
26Definite Integration
$\int_{-2}^2|x \cos \pi x| d x$ is equal to
MCQ+1 / -02018
27Definite Integration
\(\int\limits_0^{\pi / 2} \frac{1}{a^2 \cdot \sin ^2 x+b^2 \cdot \cos ^2 x} d x\)
MCQ+1 / -02017
28Definite Integration
$\int\limits_{0.2}^{3.5}[x] d x$ is equal to :
MCQ+1 / -02017
29Definite Integration
$\int\limits_0^{\pi / 2} \frac{\tan ^7 x}{\cot ^7 x+\tan ^7 x} d x$ is equal to
MCQ+1 / -02017
30Definite Integration
$\int\limits_{-5}^5|x+2| d x$ is equal to
MCQ+1 / -02017
31Definite Integration
\(\int\limits_{-\pi / 2}^{\pi / 2} \frac{d x}{e^{\sin x}+1}\)
MCQ+1 / -02017