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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, #21 · Calculus · Integrals

What function has … (from 0 to …) equal to … at…

What function has $v_{ave}$ (from 0 to $x$ ) equal to $\frac{1}{3} v (x)$ at all $x$ ? What functions have $v_{ave} = v (x)$ at all $x$ ?

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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, #21

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