If the area bounded by the curve 2 y²=3 x, lines x+y=3, y=0 and outside the circle (x-3)²+y²=2 is A, then 4(π+4 A) is equal to _ _ _ _ _ _.

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 15 Apr, Morning shift · Q29

JEE Main 202315 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

If the area bounded by the curve

2 y^{2}=3 x

, lines

x+y=3, y=0

and outside the circle

(x-3)^{2}+y^{2}=2

\mathrm{A}

, then

4(\pi+4 A)

is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.