?Net area and definite integrals Use geometry (not Riemann sums) to evaluate the
Chapter 14, Problem 332(choose chapter or problem)
Net area and definite integrals Use geometry (not Riemann sums) to evaluate the following definite integrals. Sketch a graph of the integrand, show the region in question, and interpret your result.
\(\int _1^{10}\ g(x)\ dx\) where \(g(x)=\left\{\begin{array}{ll} 4 x & \text { if } 0 \leq x \leq 2 \\ -8 x+16 & \text { if } 2<x \leq 3 \\ -8 & \text { if } x>3 \end{array}\right.\)
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