Difficulty distribution
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85questions
Not classified
85
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.
15Papers
14Years
85Questions
1Topics
Definite Integration question pattern
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Questions by year
Year-wise coverage for Definite Integration. Each bar uses a separate theme-derived color.
Question type distribution
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85questions
Multiple Choices
82
96.5%
Subjective
3
3.5%
Subject weightage
Top subjects by unique question coverage.
Most asked topics
Top topics across the included previous year papers.
Subtopic coverage
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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 |
|---|---|---|---|
| VITEEE 2025 | 2025 | 1 | View paper |
| WB JEE 2025 | 2025 | 7 | View paper |
| WB JEE 2024 | 2024 | 7 | View paper |
| WB JEE 2023 | 2023 | 7 | View paper |
| WB JEE 2022 | 2022 | 5 | View paper |
| WB JEE 2021 | 2021 | 9 | View paper |
| WB JEE 2020 | 2020 | 3 | View paper |
| WB JEE 2019 | 2019 | 5 | View paper |
| WB JEE 2018 | 2018 | 6 | View paper |
| WB JEE 2017 | 2017 | 7 | View paper |
| WB JEE 2016 | 2016 | 3 | View paper |
| WB JEE 2011 | 2011 | 5 | View paper |
| WB JEE 2010 | 2010 | 6 | View paper |
| WB JEE 2009 | 2009 | 6 | View paper |
| WB JEE 2008 | 2008 | 8 | View paper |
All Definite Integration previous year questions
Practice every matching question in batches of 20, with every available option.
2016 · Mathematics · Calculus · Definite Integration
WB JEE 2016
\(\int\limits_0^1 {\log \left( {{1 \over x} - 1} \right)} dx\) is equal to
Open complete paper
2016 · Mathematics · Calculus · Definite Integration
WB JEE 2016
If \(\phi (t) = \left\{ \matrix{
1,\,for\,0 \le t < 1, \hfill \cr
0,\,otherwise \hfill \cr} \right.\), then \(\int\limits_{ - 300}^{3000} {\left( {\sum\limits_{r' = 2014}^{2016} {\phi (t - r')\phi (t - 2016)} } \right)} \,dt\) is
Open complete paper
2016 · Mathematics · Calculus · Definite Integration
WB JEE 2016
If [x] denotes the greatest integer less than or equal to x, then the value of the integral \(\int\limits_0^2 {{x^2}[x]\,dx}\) equals
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
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
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
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
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
The value of the integral \(\int_0^1 {{e^{{x^2}}}} dx\)
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
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
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
If \(f(x) = \int_{ - 1}^x {|t|} \,dt\), then for any \(x \ge 0,\,f(x)\) is equal to
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
\(\int_0^{100} {{e^{x - [x]}}} dx\) is equal to
Open complete paper
2017 · Mathematics · Calculus · Definite Integration
WB JEE 2017
Let \(I = \int_0^{100\pi } {\sqrt {(1 - \cos 2x)} } \,dx\), then
Open complete paper
2018 · Mathematics · Calculus · Definite Integration
WB JEE 2018
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
Open complete paper
\(I = \int_{\pi /2}^{5\pi /2} {{{{e^{{{\tan }^{ - 1}}(\sin x)}}} \over {{e^{{{\tan }^{ - 1}}(\sin x)}} + {e^{{{\tan }^{ - 1}}(\cos x)}}}}} dx\), is
2018 · Mathematics · Calculus · Definite Integration
WB JEE 2018
Let \(I = \int\limits_{\pi /4}^{\pi /3} {{{\sin x} \over x}} dx\). Then
Open complete paper
2018 · Mathematics · Calculus · Definite Integration
WB JEE 2018
The value of the integral \(I = \int_{1/2014}^{2014} {{{{{\tan }^{ - 1}}x} \over x}} dx\) is
Open complete paper
2018 · Mathematics · Calculus · Definite Integration
WB JEE 2018
If \(M = \int\limits_0^{\pi /2} {{{\cos x} \over {x + 2}}dx}\), \(N = \int\limits_0^{\pi /4} {{{\sin x\cos x} \over {{{(x + 1)}^2}}}dx}\), then the value of M \(-\) N is
Open complete paper
2018 · Mathematics · Calculus · Definite Integration
WB JEE 2018
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
Open complete paper
\(\mathop {\lim }\limits_{n \to \infty } {1 \over n}\left\{ {{{\sec }^2}{\pi \over {4n}} + {{\sec }^2}{{2\pi } \over {4n}} + ... + {{\sec }^2}{{n\pi } \over {4n}}} \right\}\) is
2018 · Mathematics · Calculus · Definite Integration
WB JEE 2018
Let \(I = \int\limits_0^I {{{{x^3}\cos 3x} \over {2 + {x^2}}}dx}\), then
Open complete paper
2019 · Mathematics · Calculus · Definite Integration
WB JEE 2019
Let \({I_n} = \int\limits_0^1 {{x^n}} {\tan ^{ - 1}}xdx\). If \({a_n}{I_{n + 2}} + {b_n}{I_n} = {c_n}\) for all n \(\ge\) 1, then
Open complete paper
2019 · Mathematics · Calculus · Definite Integration
WB JEE 2019
The value of the integral \(\int\limits_{ - 1}^1 {\left\{ {{{{x^{2015}}} \over {{e^{|x|}}({x^2} + \cos x)}} + {1 \over {{e^{|x|}}}}} \right\}} dx\) is equal to
Open complete paper
2019 · Mathematics · Calculus · Definite Integration
WB JEE 2019
The value of the integration
$$\int\limits_{ - {\pi \over 4}}^{\pi /4} {\left( {\lambda |\sin x| + {{\mu \sin x} \over {1 + \cos x}} + \gamma } \right)} dx$$
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$$\int\limits_{ - {\pi \over 4}}^{\pi /4} {\left( {\lambda |\sin x| + {{\mu \sin x} \over {1 + \cos x}} + \gamma } \right)} dx$$
2019 · Mathematics · Calculus · Definite Integration
WB JEE 2019
The value of \(\mathop {\lim }\limits_{x \to 0} {1 \over x}\left[ {\int\limits_y^a {{e^{{{\sin }^2}t}}dt - } \int\limits_{x + y}^a {{e^{{{\sin }^2}t}}dt} } \right]\) is equal to
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Showing 20 of 85 questions