Explanation Given information: The given function is f ( x ) = e n x and the interval is [ 0 , a ] . Concept used: The average value of an integrable function f on [ a , b ] is the given by: A v e r a g e v a l u e = 1 b − a ∫ a b f ( x ) d x . Integration of ∫ e x = e x + C . Calculation: Here, the function f ( x ) = e n x with the interval [ a , b ]

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Question

Chapter 6.2, Problem 50E

To determine

The average over the given interval [0,a] of the function f(x)=enx for n≠0.

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Chapter 6.2, Problem 49E

Chapter 6.2, Problem 51E

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Chapter 6 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

Ch. 6.1 - Prob. 1PQ Ch. 6.1 - Prob. 2PQ Ch. 6.1 - Prob. 3PQ Ch. 6.1 - Prob. 4PQ Ch. 6.1 - Prob. 5PQ Ch. 6.1 - Prob. 6PQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E

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The average over the given interval [ 0 , a ] of the function f ( x ) = e n x for n ≠ 0 .

Solution Summary: The author calculates the average value of an integrable function f(x)=enx with the interval [0,a].

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The average over the given interval [0,a] of the function f(x)=enx for n≠0.

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Chapter 6 Solutions