JEE Main 2025 — Area Under Curves Questions with Solutions

If the area of the region \(x, y): 1+x² ≤ y ≤ \x+7,11-3 x \ is A , then 3 A is equal to

The area of the region enclosed by the curves y=e^x, y= |e^x-1 | and y-axis is:

If the area of the region \(x, y):-1 ≤ x ≤ 1,0 ≤ y ≤ a+e|x|-e⁻x, a0 \ is e²+8 e+1e, then the value of a is :

If the area of the region \(x, y): |4-x² | ≤ y ≤ x², y ≤ 4, x ≥ 0 \ is (80 √(2)α-β ), α, β N, then α+β is equal to ____…

The area of the region enclosed by the curves y=x²-4 x+4 and y²=16-8 x is :

Let the area enclosed between the curves |y|=1-x² and x²+y²=1 be α. If 9 α=β π+γ ; β, γ are integers, then the value of…

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

The area of the region bounded by the curves x (1+y² )=1 and y²=2 x is:

The area of the region \(x, y):|x-y| ≤ y ≤ 4 √(x)\ is

Let the area of the region \(x, y): 2 y ≤ x²+3, y+|x| ≤ 3, y |x-1| \ be A. Then 6 A is equal to :