Application of Integration PYQs - Last 10 Years
WB JEE / Mathematics / Calculus / 14 recent questions
MathematicsCalculus2017-2026
Practice 14 WB JEE Mathematics questions from Application of Integration. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.
14
PYQs on Page
Mathematics / Calculus
2017-2026
Year Range
Based on indexed question metadata
5
Last 5 Years
2022-2026
14
Last 10 Years
2017-2026
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2019
2020
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14PYQs
MCQ85.7%
MCQM14.3%
Difficulty Mix
#1 Unknown14
5 in last 5 years14 in last 10 years
Last 10 Years Application of Integration Questions
Showing 14 of 14 filtered questions.
1Application Of Integration
Consider the function $y=f(x)$ defined implicitly by the equation $y^3-3 y+x=0$ on the interval $(-\infty,-2) \cup(2, \infty)$. The area of the region bounded by the curve $y=f(x)$, the $x$-axis and the lines $x=a, x=b$, where $-\infty< a< ...
MCQ+1 / -0.252026
2Application Of Integration
Consider the function \(\mathrm{f}(x)=(x-2) \log _{\mathrm{e}} x\). Then the equation \(x \log _{\mathrm{e}} x=2-x\)
MCQ+1 / -0.252024
3Application Of Integration
The area bounded by the curves \(x=4-y^2\) and the Y-axis is
MCQ+1 / -0.252024
4Application Of Integration
Let f be a non-negative function defined in \([0,\pi /2]\), f' exists and be continuous for all x and \(\int\limits_0^x {\sqrt {1 - {{(f'(t))}^2}} dt = \int\limits_0^x {f(t)dt} }\) and f (0) = 0. Then
MCQ+2 / -0.52022
5Application Of Integration
Area of the figure bounded by the parabola \({y^2} + 8x = 16\) and \({y^2} - 24x = 48\) is
MCQ+1 / -0.252022
6Application Of Integration
The area bounded by the parabolas \(y = 4{x^2},y = {{{x^2}} \over 9}\) and the straight line y = 2 is
MCQ+2 / -0.52021
7Application Of Integration
The straight the through the origin which divides the area formed by the curves y = 2x \(-\) x2, y = 0 and x = 1 into two equal halves is
MCQ+1 / -0.252021
8Application Of Integration
If \({x^2} + {y^2} = {a^2}\), then \(\int\limits_0^a {\sqrt {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} dx = }\)
MCQ+1 / -0.252020
9Application Of Integration
The area of the region\(\{ (x,y):{x^2} + {y^2} \le 1 \le x + y\}\) is
MCQ+2 / -0.52020
10Application Of Integration
The area of the figure bounded by the parabola \(x = - 2{y^2},\,x = 1 - 3{y^2}\) is
MCQM+2 / -02020
11Application Of Integration
Area in the first quadrant between the ellipses x2 + 2y2 = a2 and 2x2 + y2 = a2 is
MCQ+1 / -0.252020
12Application Of Integration
Let P and T be the subsets of k, y-plane defined byP = {(x, y) : x > 0, y > 0 and x2 + y2 = 1}T = {(x, y) : x > 0, y > 0 and x8 + y8 < 1}Then, P \(\cap\) T is
MCQ+1 / -0.252019
13Application Of Integration
The area bounded by y = x + 1 and y = cos x and the X-axis, is
MCQM+2 / -02019
14Application Of Integration
The area of the figure bounded by the parabolas x = \(-\) 2y2 and x = 1 \(-\) 3y2 is
MCQ+2 / -0.52017