Area Under Curves JEE Main PYQs, 2021 to 2025

Area Under Curves has 11 questions in JEE Main papers from 2021 to 2025, about 2.2 per year across all shifts. The most asked topic is Area Between Two Curves (11 questions).

Updated 26 Sep 2026

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11Total PYQs

5Years covered

1Topics

2025 Apr S1Latest paper

Area Under Curves questions per year

Year	Questions
2025	3
2024	4
2023	1
2022	1
2021	2

Topic-wise weightage

Topic	Questions	Share of chapter	Last asked
Area Between Two Curves	11	100%	2025

Sample questions from recent papers

JEE Main 2025 · 4 Apr · Shift 1 · Area Between Two Curves

Let $f:[0,\infty)\rightarrow {\mathbb{R}}$ be a differentiable function such that

$f(x)=1-2x+\int_{0}^{x}e^{{x-t}}f(t)dt$ for all $x\in [0,\infty)$ .

Then the area of the region bounded by $y=f(x)$ and the coordinate axes is

(A) $\sqrt{5}$
(B)2
(C) $\sqrt{2}$
(D) $\frac{1}{2}$

Show answer

Answer: (D)

Step-by-step solution

All 11 questions are in the free PDF above, grouped by topic.

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Frequently asked

How many questions come from Area Under Curves in JEE Main?

11 questions from 2021 to 2025, about 2.2 per year. In 2025 it had 3.

Which Area Under Curves topics are most important for JEE Main?

By past papers: Area Between Two Curves (100%) of all Area Under Curves questions.

Is the Area Under Curves PYQ PDF free?

Yes. The PDF, the answer key and every step-by-step solution on PrepWiser are free, with no login needed to practise.

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JEE Main PYQs by year: 2025 · 2024 · 2023 · 2022 · 2021 · 2020 · 2019

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