Definite Integration PYQs - Last 10 Years
WB JEE / Mathematics / Calculus / 61 recent questions
MathematicsCalculus2017-2026
Practice 61 WB JEE Mathematics questions from Definite Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
61
PYQs on Page
Mathematics / Calculus
2017-2026
Year Range
Based on indexed question metadata
31
Last 5 Years
2022-2026
61
Last 10 Years
2017-2026
Recent Year Trend
2021
2022
2023
2024
2025
2026Latest year
20219 max PYQs/year2026
Question Types
61PYQs
MCQ82%
MCQM18%
Difficulty Mix
#1 Unknown61
31 in last 5 years61 in last 10 years
Last 10 Years Definite Integration Questions
Showing 11 of 61 filtered questions.
1Definite Integration
The value of \(\mathop {\lim }\limits_{n \to \infty } {1 \over n}\left\{ {{{\sec }^2}{\pi \over {4n}} + {{\sec }^2}{{2\pi } \over {4n}} + ... + {{\sec }^2}{{n\pi } \over {4n}}} \right\}\) is
MCQ+1 / -0.252018
2Definite Integration
Let \(I = \int\limits_{\pi /4}^{\pi /3} {{{\sin x} \over x}} dx\). Then
MCQ+1 / -0.252018
3Definite Integration
Let \(I = \int\limits_0^I {{{{x^3}\cos 3x} \over {2 + {x^2}}}dx}\), then
MCQM+2 / -02018
4Definite Integration
The value of \(I = \int_{\pi /2}^{5\pi /2} {{{{e^{{{\tan }^{ - 1}}(\sin x)}}} \over {{e^{{{\tan }^{ - 1}}(\sin x)}} + {e^{{{\tan }^{ - 1}}(\cos x)}}}}} dx\), is
MCQ+1 / -0.252018
5Definite Integration
\(\int_0^{100} {{e^{x - [x]}}} dx\) is equal to
MCQ+1 / -0.252017
6Definite Integration
Let \(I = \int_0^{100\pi } {\sqrt {(1 - \cos 2x)} } \,dx\), then
MCQ+2 / -0.52017
7Definite Integration
Let \({I_1} = \int_0^n {[x]} \,dx\) and \({I_2} = \int_0^n {\{ x\} } \,dx\), where [x] and {x} are integral and fractional parts of x and n \(\in\) N \(-\) {1}. Then I1 / I2 is equal to
MCQ+1 / -0.252017
8Definite Integration
Let f be a non-constant continuous function for all x \(\ge\) 0. Let f satisfy the relation f(x) f(a \(-\) x) = 1 for some a \(\in\) R+. Then, \(I = \int_0^a {{{dx} \over {1 + f(x)}}}\) is equal to
MCQM+2 / -02017
9Definite Integration
The value of the integral \(\int_0^1 {{e^{{x^2}}}} dx\)
MCQ+1 / -0.252017
10Definite Integration
The value of \(\mathop {\lim }\limits_{n \to \infty } \left[ {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + ... + {1 \over {2n}}} \right]\) is
MCQ+1 / -0.252017
11Definite Integration
If \(f(x) = \int_{ - 1}^x {|t|} \,dt\), then for any \(x \ge 0,\,f(x)\) is equal to
MCQ+2 / -0.52017