Difficulty distribution
How the classified questions are distributed by difficulty.
9questions
Not classified
9
100%
Definite Integration - Calculus - Mathematics Previous Year Questions
Practice Definite Integration - Calculus - Mathematics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.
5Papers
5Years
9Questions
1Topics
Definite Integration question pattern
Every graph below is calculated only from this selection.
Questions by year
Year-wise coverage for Definite Integration. 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
9
100%
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 |
|---|---|---|---|
| IAT IISER 2025 | 2025 | 1 | View paper |
| IAT IISER 2024 | 2024 | 1 | View paper |
| IAT IISER 2023 | 2023 | 2 | View paper |
| IAT IISER 2022 | 2022 | 3 | View paper |
| IAT IISER 2020 | 2020 | 2 | View paper |
All Definite Integration previous year questions
Practice every matching question in batches of 20, 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:
2020 · Mathematics · Calculus · Definite Integration
IAT IISER 2020
$F(x)=\int_0^{e^x}\left(t^3+2 t^2-t-2\right) d t$, then for how many real numbers $x$ does $F^{\prime}(x)=0$ ?
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
Open complete paper
2022 · Mathematics · Calculus · Definite Integration
IAT IISER 2022
Let $f$ be a continuous function on $[0,1]$ and $F$ be its antiderivative. If $F(0)=1$ and $\int_0^1 f(x) d x=1$, then $F(1)$ is
Open complete paper
2022 · Mathematics · Calculus · Definite Integration
IAT IISER 2022
The value of the integral
$$\int_1^{100} \frac{[x]}{x} d x$$
where $[x]$ is the greatest integer less than or equal to $x$ for any real number $x$, is
2023 · Mathematics · Calculus · Definite Integration
IAT IISER 2023
Let $f:(-1,2) \rightarrow \mathbf{R}$ be a differentiable function such that $f^{\prime}(x)=\frac{2}{x^2-5}$ and $f(0)=0$. Then in which of the following intervals does $f(1)$ lie?
Open complete paper
2023 · Mathematics · Calculus · Definite Integration
IAT IISER 2023
Let $f: \mathbf{R} \rightarrow(0, \infty)$ be a continuous decreasing function. Suppose $f(0), \dot{f}(1), \ldots, f(10)$ are in a geometric progression with common ratio $\frac{1}{5}$. In which of the following intervals does the value of $\int_0^{10} f(x) d x$ lie?
Open complete paper
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 $I$ ?
Open complete paper
2025 · Mathematics · Calculus · Definite Integration
IAT IISER 2025
What is the value of $\int_0^\pi x|\cos x| \sin x d x$ ?