List of top Mathematics Questions on Area between Two Curves asked in JEE Main

The area (in sq. units) of the region enclosed between the parabola y² = 2x and the line x + y = 4 is _______.

Let
$A1 = {(x,y):|x| <= y^2,|x|+2y≤8} $
and
$A2 = {(x,y) : |x| +|y|≤k}. $
If 27(Area A₁) = 5(Area A₂), then k is equal to :

If the area of the region $\{(x, y) : x^{2/3} + y^{2/3} \leq 1, x + y \geq 0, y \geq 0\}$ is A, then $\frac{(256 A)}{\pi} $is equal to_______.

The area of the bounded region enclosed by the curve
$y=3−|x−\frac{1}{2}|−|x+1| $
and the x-axis is

Let a curve y = y(x) pass through the point (3, 3) and the area of the region under this curve, above the x-axis and between the abscissae 3 and
$x(>3)\ be\ (\frac{y}{x})^3$
. If this curve also passes through the point (α,6√10) in the first quadrant, then α is equal to _______.

Let f(x) = $x^2 - 5x$ and $g(x) = 7x - x^2$, then the area between the curves equals to:

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