Indefinite Integration · Mathematics · KCET

Start Practice

MCQ (Single Correct Answer)

1
The value of $\int \frac{\mathrm{dx}}{(\mathrm{x}+1)(\mathrm{x}+2)}$ is
KCET 2025
2
$\int \frac{\mathrm{dx}}{\mathrm{x}^2\left(\mathrm{x}^4+1\right)^{3 / 4}}$ equals
KCET 2025
3

$$\int \frac{\sin x}{3+4 \cos ^2 x} d x$$

KCET 2024
4

$$\int \frac{1}{x\left[6(\log x)^2+7 \log x+2\right]} d x \text { is }$$

KCET 2024
5

$\int \frac{\sin \frac{3 x}{2}}{\sin \frac{x}{2}} d x$ is

KCET 2024
6

$$\int \sqrt{\operatorname{cosec} x-\sin x} d x$$ is equals to

KCET 2023
7

$$\int \sqrt{5-2 x+x^2} d x$$ is equals to

KCET 2023
8

$$\int \frac{1}{1+3 \sin ^2 x+8 \cos ^2 x} d x$$ is equals to

KCET 2023
9

$$\int \frac{\cos 2 x-\cos 2 \alpha}{\cos x-\cos \alpha} d x$$ is equal to

KCET 2022
10

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

KCET 2022
11

$$\int \frac{x^3 \sin \left(\tan ^{-1}\left(x^4\right)\right)}{1+x^8} d x$$ is equal to

KCET 2021
12

The value of $$\int \frac{x^2 d x}{\sqrt{x^6+a^6}}$$ is equal to

KCET 2021
13

The value of $$\int \frac{x e^x d x}{(1+x)^2}$$ is equal to

KCET 2021
14

The value of $$\int e^x\left[\frac{1+\sin x}{1+\cos x}\right] d x$$ is equal to

KCET 2021
15

The value of $$\int \frac{1+x^4}{1+x^6} d x$$ is

KCET 2020
16

The value of $$\int e^{\sin x} \sin 2 x d x$$ is

KCET 2020
17

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

KCET 2020
18

$$\int x^3 \sin 3 x d x=$$

KCET 2019
19

$$\int \frac{1}{\sqrt{x}+x \sqrt{x}} d x=$$

KCET 2019
20

$$\begin{aligned} & \int \frac{2 x-1}{(x-1)(x+2)(x-3)} d x \\ & \quad=A \log |x-1|+B \log |x+2|+C \log |x-3|+K \end{aligned}$$

Then $$A, B, C$$ are respectively

KCET 2019
21
$\int \frac{1}{1+e^x} d x$ is equal to
KCET 2018
22
$\int \frac{1}{\sqrt{3-6 x-9 x^2}} d x$ is equal to
KCET 2018
23
$\int e^{\sin x} \cdot\left(\frac{\sin x+1}{\sec x}\right) d x$ is equal to
KCET 2018
24

$$ \int \sqrt{x^2+2 x+5} d x \text { is equal to } $$

KCET 2017
25
$\int \frac{(x+3) e^x}{(x+4)^2} d x$ is equal to
KCET 2017
26
$\int \frac{\cos 2 x-\cos 2 \theta}{\cos x-\cos \theta} d x$ is equal to
KCET 2017
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12