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JEE Main Area Under Curves questions with solutions

Area bounded by curves using integration. 7 questions from our 2017–2025 JEE Main pattern papers, from the Class 12 Mathematics syllabus. Each has the answer and a full solution.

Also practise: Area Under Curves for JEE Advanced · Area Under Curves for NDA

JEE Main 2025

The area, in square units, of the region common to the circle x^2+y^2=16 and the parabola y^2=6x isJEE Main 2025 · hard

JEE Main 2024

Let A be the area, in square units, of the region lying above the curve y=|x^2-4| and below the line y=5. The value of 3A isJEE Main 2024 · hard

JEE Main 2022

If A is the area of the region bounded by the parabola y^2=4x and the line y=x, then 3A equalsJEE Main 2022 · medium

JEE Main 2021

The total area of the region enclosed between the curves y=x^3 and y=x isJEE Main 2021 · medium

JEE Main 2019

Find the area enclosed between the curve y^2=4x and the straight line y=x. It isJEE Main 2019 · medium

JEE Main 2018

The area of the region common to the circle x^2+y^2=8 and the parabola y^2=2x (that is, points satisfying both x^2+y^2≤8 and y^2≤2x) isJEE Main 2018 · hard

JEE Main 2017

The area of the region lying inside the circle x^2+y^2=2 and above the parabola y=x^2 isJEE Main 2017 · hard

Other Mathematics topics

Binomial Theorem 12 Complex Numbers 10 Conic Sections 5 Differential Equations 9 Differentiation and Application of Derivatives 19 Indefinite and Definite Integrals 16 Limits 9 Matrices and Determinants 19 Permutations and Combinations 10 Probability 9 Quadratic Equations 9 Sequences and Series 9 Sets, Relations and Functions 10 Statistics 6 Straight Lines and Circles 9 Three Dimensional Geometry 14 Trigonometry and Inverse Trigonometric Functions 9 Vector Algebra 8