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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

Suppose that you push a book across a 6-meter-long table by exerting a force f ( x ) at each point from x = 0 to x = 6 . What/ does 0 6 f ( x )   d x represent? If f ( x ) is measured in newtons, what are the units for the integral?

To determine

To interpret:

What does 06f(x)dx represent and what are the units of integral and what are the units of the integral?

Explanation

Let f(x) be theforce applied in moving the object from a to b; then work done in moving theobject is given by W= abf(x)dx. Therefore,06f(x)dx represents work done in moving the bo

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