Let the area of the region bounded by the curve y= max sin x, cos x, lines x=0, x=(3π)/2, and the x -axis be A. Then, A+A² is equal to _ _ _.

Integral Calculus: JEE Main 2026 Mathematics question

JEE Main 2026 · 23 Jan, Morning shift · Q24

JEE Main 202623 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let the area of the region bounded by the curve

y=\max\{\sin x,\cos x\}

, lines

x=0

x=\frac{3\pi}{2}

, and the

x

-axis be A. Then,

A+A^2

is equal to ______.

Your answerType your answer. Integers and decimals are accepted.