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Previous year question hub

Calculus - Mathematics Previous Year Questions

Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

4Papers
4Years
52Questions
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.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 52 100%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Multiple Choices 52 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
52 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
52 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential Equations
13 Qs
Limits Continuity And Differentiability
10 Qs
Application Of Derivatives
8 Qs
Area Under The Curves
6 Qs
Definite Integration
5 Qs
Differentiation
4 Qs
Functions
4 Qs
Indefinite Integration
2 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

VITEEE 2024
11 Qs
VITEEE 2023
10 Qs
VITEEE 2022
16 Qs
VITEEE 2021
15 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
VITEEE 2024202411View paper
VITEEE 2023202310View paper
VITEEE 2022202216View paper
VITEEE 2021202115View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2021 · Mathematics · Calculus · Differentiation
VITEEE 2021

If \(y=1+\frac{x}{1 !}+\frac{x^2}{2 !}+\frac{x^3}{3 !} \ldots\), then \(\frac{d y}{d x}\) is equal to

A
\(e^x\)
B
\(\sin x\)
C
y
D
x
Open complete paper
2
2022 · Mathematics · Calculus · Limits Continuity And Differentiability
VITEEE 2022

The value of \(\lim _\limits{t \rightarrow \infty} \frac{\ln \left(\frac{3}{2} t\right)}{t^2}\)

A
2
B
1/5
C
0
D
1/2
Open complete paper
3
2023 · Mathematics · Calculus · Area Under The Curves
VITEEE 2023

The area enclosed by \(y=x^3+1\) and \(y=x+2\) in first quadrant, is

A
2.86
B
1.43
C
1.40
D
1.86
Open complete paper
4
2024 · Mathematics · Calculus · Application Of Derivatives
VITEEE 2024

Difference between the maximum and minimum values of $f(x)=-\sin ^3 x+3 \sin ^2 x+5$ in $x \in\left[0, \frac{\pi}{2}\right]$ is

A
2
B
4
C
6
D
7
Open complete paper
5
2021 · Mathematics · Calculus · Limits Continuity And Differentiability
VITEEE 2021

The value of \(\lim _\limits{n \rightarrow \infty}\left\{\frac{1+2+3+\ldots+n}{n+2}-\frac{n}{2}\right\}\) is

A
\(\frac{1}{2}\)
B
1
C
\(-1\)
D
\(-\frac{1}{2}\)
Open complete paper
6
2022 · Mathematics · Calculus · Limits Continuity And Differentiability
VITEEE 2022

The value of \(f(x) = \mathop {\lim }\limits_{x \to 2} {{{x^3} - 3{x^2} + 4} \over {{x^4} - 7x - 2}}\)

A
0
B
3
C
1/4
D
5
Open complete paper