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Application of Integrals

Previous year questions with solutions · 2025 – 2026

30Questions
29Papers covered
4% ↑9.1%Weightage in 2026
’25
’26
Year-wise statistics questions · papers · average per paper · weightage
YearQuestionsPapersAvg / paperWeightage
2026191914.00% ↑9.1%
202511120.923.67%

7 questions · newest paper first

1

Let f : R R be a function such that f(x)+3f ( 2-x )= x, x R. Let the maximum value of f on R be . If the area of the region bounded by the curves g(x)=x2 and h(x)= x3, >0, is 2, then 30 3 is equal to .

JEE Main 2026 (Online) 5th April Evening Shift
2

If the area of the region bounded by 16x2-9y2=144 and 8x-3y=24 is A, then 3 (A+6 e(3) ) is equal to .

JEE Main 2026 (Online) 2nd April Evening Shift
3

Let the area of the region bounded by the curve y = \ x, x\, lines x = 0, x = 3 2, and the x-axis be A. Then, A + A2 is equal to .

JEE Main 2026 (Online) 23rd January Morning Shift
4

Let the area of the bounded region \(x, y) : 0 9x y2, y 3x - 6 \ be A. Then 6A is equal to .

JEE Main 2025 (Online) 8th April Evening Shift
5

If the area of the region \(x, y) : |x - 5| y 4 x\ is A, then 3A is equal to .

JEE Main 2025 (Online) 4th April Morning Shift
6

The area of the region bounded by the curve y = \|x|, x|x-2|\, the x-axis and the lines x = -2 and x = 4 is equal to

JEE Main 2025 (Online) 3rd April Morning Shift
7

If the area of the region \(x, y) : |4 - x2 | y x2, y 4, x 0 \ is ( 80 2 - ), , N, then + is equal to .

JEE Main 2025 (Online) 2nd April Morning Shift