Let for x R, f(x)=(x+|x|)/2 and g(x)=\ cc x, x<0 x², x ≥ 0.. Then area bounded by the curve y=(f° g)(x) and the lines y=0,2 y-x=15 is equal to _ _ _ _ _.

Integral Calculus: JEE Main 2023 Mathematics question

JEE Main 2023 · 31 Jan, Morning shift · Q26

JEE Main 202331 Jan, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let for

x \in \mathbb{R}

f(x)=\frac{x+|x|}{2} \text { and } g(x)=\left\{\begin{array}{cc} x, & x<0 \\ x^{2}, & x \geq 0 \end{array}\right. \text {. }

Then area bounded by the curve

y=(f \circ g)(x)

and the lines

y=0,2 y-x=15

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 Integral Calculus Question with Answer (31 Jan Morning shift, Q26) | JEE Arc