Mathematics

Mathematics

Problem

A function gg is below the xx-axis on [0,4][0,4] and above the xx-axis on [4,6][4,6]. The area of the region between the graph of gg and the xx-axis is 33 square units on [0,4][0,4] and 55 square units on [4,6][4,6]. Evaluate ∫06g(x) dx\displaystyle\int_{0}^{6} g(x)\,dx. a) 88 b) −2-2 c) 22 d) 55

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