Area Under The Curves
Practice Questions
MCQ (Single Correct Answer)
1

The area bounded by the curve $y=\sin \left(\frac{x}{3}\right)$, $x$ axis, the lines $x=0$ and $x=3 \pi$ is

KCET 2025
2
The area of the region bounded by the curve $y=x^2$ and the line $y=16$ is
KCET 2025
3

The area of the region bounded by the line $y=3 x$ and the curve $y=x^2$ sq units is

KCET 2024
4

The area of the region bounded by the line $y=x$ and the curve $y=x^3$ is

KCET 2024
5

In the interval $$(0, \pi / 2)$$ area lying between the curves $$y=\tan x$$ and $$y=\cot x$$ and the $$X$$-axis is

KCET 2023
6

The area of the region bounded by the line $$y=x+1$$ and the lines $$x=3$$ and $$x=5$$ is

KCET 2023
7

Area of the region bounded by the curve $$y=\tan x$$, the $$X$$-axis and line $$x=\frac{\pi}{3}$$ is

KCET 2022
8

The area of the region bounded by $$y=-\sqrt{16-x^2}$$ and $$X$$-axis is

KCET 2021
9

The area of the region bounded by the curve $$y^2=8 x$$ and the line $$y=2 x$$ is

KCET 2020
10

The area of the region bounded by the line $$y=2 x+1, X$$-axis and the ordinates $$x=-1$$ and $$x=1$$ is

KCET 2020
11

The area of the region above $$X$$-axis included between the parabola $$y^2=x$$ and the circle $$x^2+y^2=2 x$$ in square units is

KCET 2019
12

The area of the region bounded by $$Y$$-axis, $$y=\cos x$$ and $$y=\sin x, 0 \leq x \leq \frac{\pi}{2}$$ is

KCET 2019
13
The area of the region bounded by the curve $y=\cos x$ between $x=0$ and $x=\pi$ is
KCET 2018
14
The area bounded by the line $y=x, X$-axis and ordinates $x=-1$ and $x=2$ is
KCET 2018
15
The area of the region bounded by the curve $y=x^2$ and the line $y=16$
KCET 2017
16
Area of the region bounded by the curve $y=\cos x, x=0$ and $x=\pi$ is
KCET 2017