Explanation Given information: The graph is: Formula used: If f is continuous on the closed interval [ a , b ] and F ' = f on [ a , b ] , then ∫ a b f ( x ) d x = F ( b ) − F ( a ) The area bounded by the curve y = f ( x ) and the x − axis on the interval [ a , b ] is given by ∫ a b f ( x ) d x

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Differential Equations

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Chapter 6.1, Problem 44P

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Chapter 6.1, Problem 43P

Chapter 6.2, Problem 1P

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Chapter 6 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 6.1 - Prob. 1P Ch. 6.1 - Prob. 2P Ch. 6.1 - Prob. 3P Ch. 6.1 - Prob. 4P Ch. 6.1 - Prob. 5P Ch. 6.1 - Prob. 6P Ch. 6.1 - Prob. 7P Ch. 6.1 - Prob. 8P Ch. 6.1 - Prob. 9P Ch. 6.1 - Prob. 10P

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A length roughly approximating F ( b ) − F ( a ) b − a , where F ' = f .

Solution Summary: The author explains that the area representing F(b)-F(a) is bounded by the curve y=f(x)

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To show:A length roughly approximating F(b)−F(a)b−a , where F'=f .

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Chapter 6 Solutions