Difficulty distribution
How the classified questions are distributed by difficulty.
9questions
Medium
9
100%
Calculus - Mathematics Previous Year Questions
Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
9Papers
5Years
9Questions
1Topics
Calculus question pattern
Every graph below is calculated only from this selection.
Questions by year
Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.
Question type distribution
MCQ, numerical, multiple-select and other formats found in these papers.
9questions
Multiple Choices
7
77.8%
Numerical Answer Type (NAT)
1
11.1%
Subjective
1
11.1%
Subject weightage
Top subjects by unique question coverage.
Most asked topics
Top topics across the included previous year papers.
Subtopic coverage
Top subtopics inside this exact selection.
Paper coverage
Question coverage for the most populated papers. Every active PYP paper remains listed below.
Included previous year papers
Newest papers appear first. Sort by year, question coverage or name.
| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| JEE MAIN 2023 ONLINE 30TH JANUARY EVENING SHIFT | 2023 | 1 | View paper |
| JEE Main 2021 (Online) 24th February Morning Shift | 2021 | 1 | View paper |
| JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT | 2020 | 1 | View paper |
| JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT | 2020 | 1 | View paper |
| JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT | 2020 | 1 | View paper |
| JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT | 2019 | 1 | View paper |
| JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT | 2019 | 1 | View paper |
| JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT | 2019 | 1 | View paper |
| IIT-JEE 2007 | 2007 | 1 | View paper |
Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
2019 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2019 ONLINE 10TH APRIL EVENING SLOT
The area (in sq.units) of the region bounded by the curves y = 2x
and y = |x + 1|, in the first quadrant is :
Open complete paper
2019 · Mathematics · Calculus · Area Under The Curves
JEE MAIN 2019 ONLINE 12TH APRIL EVENING SLOT
If the area (in sq. units) bounded by the parabola y2
= 4\(\lambda\)x and the line y = \(\lambda\)x, \(\lambda\) > 0, is \({1 \over 9}\)
, then \(\lambda\) is equal to :
Open complete paper
2019 · Mathematics · Calculus · Definite Integration
JEE MAIN 2019 ONLINE 12TH APRIL MORNING SLOT
Let f : R \(\to\) R be a continuously differentiable function such that f(2) = 6 and f'(2) = \({1 \over {48}}\). If \(\int\limits_6^{f\left( x \right)} {4{t^3}} dt\) = (x - 2)g(x), then \(\mathop {\lim }\limits_{x \to 2} g\left( x \right)\) is equal to :
Open complete paper
2020 · Mathematics · Calculus · Definite Integration
JEE MAIN 2020 ONLINE 2ND SEPTEMBER EVENING SLOT
Let [t] denote the greatest integer less than or
equal to t.
Then the value of \(\int\limits_1^2 {\left| {2x - \left[ {3x} \right]} \right|dx}\) is ______.
Then the value of \(\int\limits_1^2 {\left| {2x - \left[ {3x} \right]} \right|dx}\) is ______.
Enter a numerical response
Open complete paper
2020 · Mathematics · Calculus · Differential Equations
JEE MAIN 2020 ONLINE 2ND SEPTEMBER MORNING SLOT
Let y = y(x) be the solution of the differential
equation,
\({{2 + \sin x} \over {y + 1}}.{{dy} \over {dx}} = - \cos x\), y > 0,y(0) = 1.
If y(\(\pi\)) = a and \({{dy} \over {dx}}\) at x = \(\pi\) is b, then the ordered pair (a, b) is equal to :
Open complete paper
\({{2 + \sin x} \over {y + 1}}.{{dy} \over {dx}} = - \cos x\), y > 0,y(0) = 1.
If y(\(\pi\)) = a and \({{dy} \over {dx}}\) at x = \(\pi\) is b, then the ordered pair (a, b) is equal to :
2020 · Mathematics · Calculus · Definite Integration
JEE MAIN 2020 ONLINE 3RD SEPTEMBER EVENING SLOT
Suppose f(x) is a polynomial of degree four,
having critical points at –1, 0, 1. If
T = {x \(\in\) R | f(x) = f(0)}, then the sum of squares of all the elements of T is :
Open complete paper
T = {x \(\in\) R | f(x) = f(0)}, then the sum of squares of all the elements of T is :