The graph of \( f \) consists of line segments, as shown in the figure. Evaluate each definite integral by using geometric formulas.
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- The graph consists of line segments connecting the points: \((0, 0)\), \((3, 2)\), \((4, 2)\), \((6, 0)\), \((8, -2)\), and \((11, 1)\). Show more…
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The graph of $f$ consists of line segments, as shown in the figure. Evaluate each definite integral by using geometric formulas. (a) $\int_{0}^{1}-f(x) d x$ (b) $\int_{3}^{4} 3 f(x) d x$ (c) $\int_{0}^{7} f(x) d x$ (d) $\int_{5}^{11} f(x) d x$ (e) $\int_{0}^{11} f(x) d x$ (f) $\int_{4}^{10} f(x) d x$
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Riemann Sums and Definite Integrals
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