Difficulty distribution
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32questions
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32
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Calculus - Mathematics Previous Year Questions
Practice Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
5Papers
5Years
32Questions
1Topics
Calculus question pattern
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Questions by year
Year-wise coverage for Calculus. Each bar uses a separate theme-derived color.
Question type distribution
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32questions
Multiple Choices
32
100%
Subject weightage
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Subtopic coverage
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Paper coverage
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Definite Integration
Explore previous-paper coverage, trends and focused practice for Definite Integration.
Application Of Derivatives
Explore previous-paper coverage, trends and focused practice for Application Of Derivatives.
Functions
Explore previous-paper coverage, trends and focused practice for Functions.
Differential Equations
Explore previous-paper coverage, trends and focused practice for Differential Equations.
Limits Continuity And Differentiability
Explore previous-paper coverage, trends and focused practice for Limits Continuity And Differentiability.
Area Under The Curves
Explore previous-paper coverage, trends and focused practice for Area Under The Curves.
Differentiation
Explore previous-paper coverage, trends and focused practice for Differentiation.
Included previous year papers
Newest papers appear first. Sort by year, question coverage or name.
| Paper | Year / session | Questions in this view | Open |
|---|---|---|---|
| IAT IISER 2025 | 2025 | 5 | View paper |
| IAT IISER 2024 | 2024 | 6 | View paper |
| IAT IISER 2023 | 2023 | 7 | View paper |
| IAT IISER 2022 | 2022 | 7 | View paper |
| IAT IISER 2020 | 2020 | 7 | View paper |
Sample previous year questions
A varied preview from the papers represented in this selection, with every available option.
2020 · Mathematics · Calculus · Definite Integration
IAT IISER 2020
If $p(t)=\frac{t(t-1) \cdots(t-2019)}{2019!}$, then the value of
$$\int_0^1\left(\frac{1}{t+1}+\frac{1}{t+2}+\cdots+\frac{1}{t+2020}\right) p(-t-1) d t$$
is:
2022 · Mathematics · Calculus · Definite Integration
IAT IISER 2022
For a natural number $n$, let $C_n$ be the curve in the $X Y$-plane given by $y=x^n$, where $0 \leq$ $x \leq 1$. Let $A_n$ denote the area of the region bounded between $C_n$ and $C_n+1$. Then the largest value of $A_n$ is
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2023 · Mathematics · Calculus · Application Of Derivatives
IAT IISER 2023
Let $f(x)=\sin (3 x), x \in\left[0, \frac{\pi}{2}\right]$. Which of the following statements is true
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2024 · Mathematics · Calculus · Definite Integration
IAT IISER 2024
Let $I=\int_{e^{-\pi / 2}}^{e^{\pi / 2}}\left(\sin ^2(\log (x))+\sin \left(\log \left(x^2\right)\right)\right) d x$. What is the value of $I$ ?
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2025 · Mathematics · Calculus · Functions
IAT IISER 2025
Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be the function defined by
$$f(x)= \begin{cases}x^2-4 x-5 & \text { if } x \geq 1, \\ 2 x & \text { if } x<1 .\end{cases}$$
Which one of the following statements is TRUE?
2020 · Mathematics · Calculus · Limits Continuity And Differentiability
IAT IISER 2020
If $f(x)=a x^2+b x+c$ and $f\left(\frac{1}{n}\right)=\frac{n+1}{n^2}$ for all $n \in N$, then what is the value of $\lim \limits_{x \rightarrow 0} f^{\prime}(x)$ ?
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