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Previous year question hub

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.

4Papers
4Years
6Questions
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.

Difficulty distribution

How the classified questions are distributed by difficulty.

Not classified 6 100%

Question type distribution

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

Multiple Choices 6 100%

Subject weightage

Top subjects by unique question coverage.

Mathematics
6 Qs

Most asked topics

Top topics across the included previous year papers.

Calculus
6 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Definite Integration
6 Qs

Paper coverage

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

BITSAT 2025
2 Qs
BITSAT 2024
2 Qs
BITSAT 2021
1 Qs
BITSAT 2020
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
BITSAT 202520252View paper
BITSAT 202420242View paper
BITSAT 202120211View paper
BITSAT 202020201View paper

All Definite Integration previous year questions

Practice every matching question in batches of 20, with every available option.

1
2020 · Mathematics · Calculus · Definite Integration
BITSAT 2020

The value of the definite integral \(\int\limits_0^{\pi /2} {{{dx} \over {\tan x + \cot x + \cos ec\,x + \sec x}}}\)

A
\(1 - {\pi \over 4}\)
B
\(1 + {\pi \over 4}\)
C
\(\pi + {1 \over 4}\)
D
None of these
Open complete paper
2
2021 · Mathematics · Calculus · Definite Integration
BITSAT 2021

\(\int\limits_0^1 {{{\log (1 + x)} \over {1 + {x^2}}}dx}\) is equal to :

A
\({\pi \over 8}\log 2\)
B
\({\pi \over 8}\log {1 \over 2}\)
C
\({\pi \over 4}\log 2\)
D
None of these
Open complete paper
3
2024 · Mathematics · Calculus · Definite Integration
BITSAT 2024
$ \int_{0}^{\infty} \frac{d x}{\left(x^{2}+a^{2}\right)\left(x^{2}+b^{2}\right)} $ is
A
$\frac{\pi a b}{a+b} $
B
$\frac{a b}{2(a+b)} $
C
$\frac{\pi}{2 a b(a+b)} $
D
$\frac{\pi(a+b)}{2 a b} $
Open complete paper
4
2024 · Mathematics · Calculus · Definite Integration
BITSAT 2024
The value of definite integral $ \int_{0}^{\pi / 2} \log (\tan x) d x $ is .
A
0
B
$\frac{\pi}{4} $
C
$\frac{\pi}{2} $
D
$\pi $
Open complete paper
5
2025 · Mathematics · Calculus · Definite Integration
BITSAT 2025

The value of integral $\int_a^b e^x d x$ as limit of sums is

A

$e^a-e^b$

B

$e^b-e^a$

C

$e^b+e^a$

D

$-e^a-e^b$

Open complete paper
6
2025 · Mathematics · Calculus · Definite Integration
BITSAT 2025

What is the value of the definite integral $\int_0^\pi \log (\sin x) d x$ ?

A

$-\frac{\pi}{4} \log 2$

B

$-\frac{\pi}{2} \log 2$

C

$-\pi \log 2$

D

$-\frac{\pi}{4} \log \left(\frac{1}{2}\right)$

Open complete paper