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Area Under the Curves question

2023 · 31 Jan · Shift 1 · Q46

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PYQ Library
JEE Main
Mathematics
Area Under the Curves
2023 · 31 Jan · Shift 1 · Q46

Area Under the Curves question

2023 · 31 Jan · Shift 1 · Q46

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1

Let for

x \in \mathbb{R}

,

f(x)=\frac{x+|x|}{2}

and

g(x)=\left\{\begin{array}{cc} x, & x\lt 0 \\ x^{2}, & x \geq 0 \end{array}\right.

. Then area bounded by the curve

y=(f \circ g)(x)

and the lines

y=0, 2y-x=15

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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