Question: Show that the average value V of a continuous function f(x) over the interval a x b may be computed as the slope

Show that the average value V of a continuous function f(x) over the interval a ≤ x ≤ b may be computed as the slope of the line joining the points (a, F(a)) and (b, F(b)) on the curve y = F(x), where F(x) is any antiderivative of f(x) over a ≤ x ≤ b.

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