Let A₁ be the bounded area enclosed by the curves y=x²+2, x+y=8 a… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 24 January, Shift 1Applications of Integrals (Area)

Let $A_1$ be the bounded area enclosed by the curves $y=x^2+2$ , $x+y=8$ and $y$ -axis that lies in the first quadrant. Let $A_2$ be the bounded area enclosed by the curves $y=x^2+2$ , $y^2=x$ , $x=2$ and $y$ -axis that lies in the first quadrant. Then $A_1-A_2$ is equal to

A
$\dfrac{2}{3}(4\sqrt{2}+1)$
B
$\dfrac{2}{3}(3\sqrt{2}+1)$
C
$\dfrac{2}{3}(2\sqrt{2}+1)$
D
$\dfrac{2}{3}(\sqrt{2}+1)$

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