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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §5.6 Properties of the Integral and Average Value, #11 · Calculus · Integrals

The average value from … to … equals

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The average value from $x = 0$ to $x = 3$ equals
$\frac{1}{3} (v_{ave} on 0 \leq x \leq 1) + \frac{2}{3} (v_{ave} on 1 \leq x \leq 3)$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §5.6 Properties of the Integral and Average Value, #11

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