Show that the average value V of a continuous function f(x) over the interval a x
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 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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Let Fx be any antiderivative of fx Then by the Fu...View the full answer
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Related Book For
Calculus For Business, Economics And The Social And Life Sciences
ISBN: 9780073532387
11th Brief Edition
Authors: Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price
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