Skip to content

Sign in Sign up free

JEE Advanced Area Under Curves questions with solutions

Area bounded by curves using integration. 16 questions from our 2017–2025 JEE Advanced pattern papers, from the Class 12 Mathematics syllabus. Each has the answer and a full solution.

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

JEE Advanced 2025

Let R be the region enclosed by the curves y=ln x and y=(ln x)^2 and the vertical lines x=1 and x=e^2. The area of R is ______.JEE Advanced 2025 Paper 2 · medium

JEE Advanced 2024

Paragraph 1: Consider the curves C1: y=x^2 and C2: y=2-|x| in the xy-plane. The two curves enclose a bounded region R lying above C1 and below C2…JEE Advanced 2024 Paper 2 · 2-question set

JEE Advanced 2023

Paragraph 1: Let f(x)=x^3-6x^2+9x. The graph of y=f(x) has a local maximum at x=1 with value 4, touches the x-axis at x=3 (local minimum) and crosses…JEE Advanced 2023 Paper 2 · 2-question set

JEE Advanced 2022

Let R be the region common to the interior of the parabola y^2=4x and the disc x^2+y^2≤12. Find the area of R.JEE Advanced 2022 Paper 1 · hard
The area of the region bounded by the curve y=lvert x^2-4rvert and the line y=5 isJEE Advanced 2022 Paper 2 · medium

JEE Advanced 2021

The parabola y^2=4x and its normal at the point (4,4) enclose a bounded region. Its area isJEE Advanced 2021 Paper 1 · medium
Paragraph 2: The line y=x/e passes through the origin and touches the curve y=ln x at the point T. Let R be the bounded region enclosed by the curve…JEE Advanced 2021 Paper 2 · 2-question set

JEE Advanced 2020

The area of the region \(x,y):x^2+y^2≤ 8, y^2≥ 2x\ isJEE Advanced 2020 Paper 1 · hard
Find the area of the region lying inside the circle x^2+y^2=8 and on or above the parabola y=(x^2/(2).JEE Advanced 2020 Paper 2 · medium

JEE Advanced 2019

Find the area of the region \(x,y): x^2+y^2≤ 8, y≥ (x^2/(2)\.JEE Advanced 2019 Paper 1 · easy
Let R be the region \(x,y): |x^2-4|≤ y≤ 5\. The area of R is ______.JEE Advanced 2019 Paper 2 · medium

JEE Advanced 2018

Find the area of the region \(x,y): |x^2-1|≤ y≤ 2\.JEE Advanced 2018 Paper 2 · medium

JEE Advanced 2017

The parabola y^2=4x has the normal at the point (4,4). This normal meets the parabola again at a second point. The area of the region enclosed…JEE Advanced 2017 Paper 2 · medium

Other Mathematics topics

Binomial Theorem 10 Complex Numbers 24 Conic Sections 34 Differential Equations 18 Differentiation and Application of Derivatives 20 Indefinite and Definite Integrals 18 Limits 19 Matrices and Determinants 28 Permutations and Combinations 18 Probability 38 Quadratic Equations 12 Sequences and Series 11 Sets, Relations and Functions 8 Straight Lines and Circles 10 Three Dimensional Geometry 22 Trigonometry and Inverse Trigonometric Functions 18 Vector Algebra 9