The piecewise function is defined by g(x)= cases x, & 0 x 4, 4, & 4< x 6

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

The piecewise function gg is defined by g(x)={x,0≤x≤4,4,4<x≤6.g(x)=\begin{cases} x, & 0\le x\le 4,\\ 4, & 4< x\le 6. \end{cases} Evaluate ∫06g(x) dx\displaystyle\int_{0}^{6} g(x)\,dx. (a) 2020 (b) 1616 (c) 1212 (d) 1818

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