Indefinite Integration
KCET / Mathematics / Calculus / 28 questions
MathematicsCalculus28 PYQs
Practice 28 KCET Mathematics questions from Indefinite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
28
PYQs on Page
Mathematics / Calculus
2017-2026
Year Range
Based on indexed question metadata
12
Last 5 Years
2022-2026
28
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
20214 max PYQs/year2026
Question Types
28PYQs
MCQ100%
Difficulty Mix
#1 Unknown28
12 in last 5 years28 in last 10 years
Indefinite Integration Questions
Showing 28 of 28 questions on this page.
1Indefinite Integration
If '$n$' is a natural number, then $\int \dfrac{\sin^n x}{\cos^{n+2} x}\,dx = $
MCQ+1 / -02026
2Indefinite Integration
$\int e^{-x \log 2} \cdot 2^x\,dx = $
MCQ+1 / -02026
3Indefinite Integration
$\int \frac{\mathrm{dx}}{\mathrm{x}^2\left(\mathrm{x}^4+1\right)^{3 / 4}}$ equals
MCQ+1 / -02025
4Indefinite Integration
The value of $\int \frac{\mathrm{dx}}{(\mathrm{x}+1)(\mathrm{x}+2)}$ is
MCQ+1 / -02025
5Indefinite Integration
$\int \frac{\sin \frac{3 x}{2}}{\sin \frac{x}{2}} d x$ is
MCQ+1 / -02024
6Indefinite Integration
\(\int \frac{1}{x\left[6(\log x)^2+7 \log x+2\right]} d x \text { is }\)
MCQ+1 / -02024
7Indefinite Integration
\(\int \frac{\sin x}{3+4 \cos ^2 x} d x\)
MCQ+1 / -02024
8Indefinite Integration
\(\int \frac{1}{1+3 \sin ^2 x+8 \cos ^2 x} d x\) is equals to
MCQ+1 / -02023
9Indefinite Integration
\(\int \sqrt{5-2 x+x^2} d x\) is equals to
MCQ+1 / -02023
10Indefinite Integration
\(\int \sqrt{\operatorname{cosec} x-\sin x} d x\) is equals to
MCQ+1 / -02023
11Indefinite Integration
If \(\int \frac{d x}{(x+2)\left(x^2+1\right)}=a \log \left|1+x^2\right|+b \tan ^{-1} x +\frac{1}{5} \log |x+2|+c,\) then
MCQ+1 / -02022
12Indefinite Integration
\(\int \frac{\cos 2 x-\cos 2 \alpha}{\cos x-\cos \alpha} d x\) is equal to
MCQ+1 / -02022
13Indefinite Integration
The value of \(\int \frac{x^2 d x}{\sqrt{x^6+a^6}}\) is equal to
MCQ+1 / -02021
14Indefinite Integration
\(\int \frac{x^3 \sin \left(\tan ^{-1}\left(x^4\right)\right)}{1+x^8} d x\) is equal to
MCQ+1 / -02021
15Indefinite Integration
The value of \(\int e^x\left[\frac{1+\sin x}{1+\cos x}\right] d x\) is equal to
MCQ+1 / -02021
16Indefinite Integration
The value of \(\int \frac{x e^x d x}{(1+x)^2}\) is equal to
MCQ+1 / -02021
17Indefinite Integration
The value of \(\int e^{\sin x} \sin 2 x d x\) is
MCQ+1 / -02020
18Indefinite Integration
If \(\int \frac{3 x+1}{(x-1)(x-2)(x-3)} d x A \log |x-1| B \log |x-2|+C \log |x-3|+C\), then the values of \(A, B\) and \(C\) are respectively
MCQ+1 / -02020
19Indefinite Integration
The value of \(\int \frac{1+x^4}{1+x^6} d x\) is
MCQ+1 / -02020
20Indefinite Integration
$$\begin{aligned}
& \int \frac{2 x-1}{(x-1)(x+2)(x-3)} d x \\
& \quad=A \log |x-1|+B \log |x+2|+C \log |x-3|+K
\end{aligned}$$
Then \(A, B, C\) are respectively
Then \(A, B, C\) are respectively
MCQ+1 / -02019
21Indefinite Integration
\(\int \frac{1}{\sqrt{x}+x \sqrt{x}} d x=\)
MCQ+1 / -02019
22Indefinite Integration
\(\int x^3 \sin 3 x d x=\)
MCQ+1 / -02019
23Indefinite Integration
$\int \frac{1}{1+e^x} d x$ is equal to
MCQ+1 / -02018
24Indefinite Integration
$\int e^{\sin x} \cdot\left(\frac{\sin x+1}{\sec x}\right) d x$ is equal to
MCQ+1 / -02018
25Indefinite Integration
$\int \frac{1}{\sqrt{3-6 x-9 x^2}} d x$ is equal to
MCQ+1 / -02018
26Indefinite Integration
$\int \frac{(x+3) e^x}{(x+4)^2} d x$ is equal to
MCQ+1 / -02017
27Indefinite Integration
$\int \frac{\cos 2 x-\cos 2 \theta}{\cos x-\cos \theta} d x$ is equal to
MCQ+1 / -02017
28Indefinite Integration
\(\int \sqrt{x^2+2 x+5} d x \text { is equal to }\)
MCQ+1 / -02017
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