JEE-MAIN SERIES Mathematics
Applications Of Integrals
26 previous year questions.
Volume: 26 Ques
Yield: High
High-Yield Trend
2
2026 8
2023 1
2022 10
2021 1
2020 1
2019 1
2017 1
2015 1
2014 Chapter Questions 26 MCQs
01
PYQ 2014
medium
mathematics ID: jee-main
The area (in sq units) of the region described by and is:
1
2
3
4
02
PYQ 2015
medium
mathematics ID: jee-main
The area (in s units) of the quadrilateral formed by the tangents at the end points of the latera
recta to the ellipse , is:
1
2
18
3
4
27
03
PYQ 2017
medium
mathematics ID: jee-main
The area (in s units) of the region and is
1
2
3
4
04
PYQ 2019
medium
mathematics ID: jee-main
The area of the region and in s units is :
1
2
3
2
4
05
PYQ 2020
easy
mathematics ID: jee-main
For , let the curves and intersect at origin O and a point P. Let the line intersect the chord OP and the x-axis at points Q and R, respectively. If the line x = b bisects the area bounded by the curves, and , and the area of then 'a' satisfies the equation :
1
2
3
4
06
PYQ 2021
medium
mathematics ID: jee-main
If the area of the bounded region is, , then the value of is equal to :
1
1
2
2
3
4
4
8
07
PYQ 2021
medium
mathematics ID: jee-main
The area (in sq. units) of the region, given by the set is :
1
2
3
4
08
PYQ 2021
medium
mathematics ID: jee-main
If is a point on the parabola which is closest to the straight line , then the co-ordinates of are
1
(3,13)
2
(1,5)
3
(-2,8)
4
(2,8)
09
PYQ 2021
medium
mathematics ID: jee-main
If the curve passes through the point (1,2) and the tangent line to this curve at origin is then the possible values of are :
1
2
3
4
10
PYQ 2021
medium
mathematics ID: jee-main
Let a and b respectively be the points of local maximum and local minimum of the function . If A is the total area of the region bounded by , the x-axis and the lines and , then 4A is equal to ___________.
11
PYQ 2021
medium
mathematics ID: jee-main
The area of the region bounded by the parabola , the tangent to it at the point whose ordinate is 3 and the x-axis is :
1
6
2
9
3
10
4
4
12
PYQ 2021
medium
mathematics ID: jee-main
The area of the region bounded by and is equal to :
1
2
3
4
13
PYQ 2021
medium
mathematics ID: jee-main
The value of is equal to :
1
2
3
4
14
PYQ 2021
medium
mathematics ID: jee-main
The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A⁴ is equal to __________
15
PYQ 2021
medium
mathematics ID: jee-main
The area (in sq. units) of the part of the circle , which is outside the parabola , is :
1
2
3
4
16
PYQ 2022
medium
mathematics ID: jee-main
if where is a constant, then at is equal to :
1
2
3
4
17
PYQ 2023
hard
mathematics ID: jee-main
1
is equal to
2
is equal to 9
3
does not exist
4
is equal to 27
18
PYQ 2023
medium
mathematics ID: jee-main
. If then is equal to
1
2
3
4
19
PYQ 2023
medium
mathematics ID: jee-main
The area of the region given by is :
1
2
3
4
20
PYQ 2023
easy
mathematics ID: jee-main
Let be the area of the larger region bounded by the curve and the lines and , which lies in the first quadrant Then the value of is equal to _____
21
PYQ 2023
hard
mathematics ID: jee-main
Let , where and Then is equal to _______
22
PYQ 2023
hard
mathematics ID: jee-main
The area enclosed by and
23
PYQ 2023
hard
mathematics ID: jee-main
Find area bounded by the curves = and between and
1
2
3
4
24
PYQ 2023
easy
mathematics ID: jee-main
If 5f(x) + 4f ( ) = + 3, then f(x)dx is:
1
10 n 3 - 6
2
5 n2 - 6
3
10 n 2 - 6
4
5 n 2 - 3
25
PYQ 2026
medium
mathematics ID: jee-main
is the area bounded by , , and the -axis in the first quadrant, and is the area bounded by , , and in the first quadrant. Find .
1
2
3
4
None of these
26
PYQ 2026
hard
mathematics ID: jee-main
Let
and
then find .
1
2
3
4
About Applications Of Integrals - JEE-MAIN
Applications Of Integrals is a vital chapter for JEE-MAIN aspirants. Mastering the concepts covered in this chapter is essential for securing a top rank.
By rigorously practicing the previous year questions associated with this chapter, you can identify high-yield topics, understand the examiner's perspective, and boost your confidence during the actual exam.
Frequently Asked Questions
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Analyzing PYQs for this specific chapter reveals the most frequently tested concepts and the typical complexity of questions, allowing you to tailor your study plan efficiently.
How to best use this analysis?
Review the topic breakdown to see which sub-topics within Applications Of Integrals carry the most weight. Then, tackle the questions iteratively to solidify your understanding.