Explanation Formula used: ∫ x n d x = x n + 1 n + 1 + C (1) Calculation: The given derivative is d m d t = ln ( t − 5 ) t − 5 . To calculate the anti-derivative of the derivative d m d t = ln ( t − 5 ) t − 5 , integrate d m d t = ln ( t − 5 ) t − 5 as follows. d m = ln ( t − 5 ) t − 5 d t ∫ d m = ∫ ln ( t − 5 ) t

Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

15th Edition

ISBN: 9781323047620

Author: Barnett, Ziegler, Byleen

Publisher: Pearson Education

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Chapter 5.2, Problem 76E

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To find: The family of all anti-derivatives of the derivative dmdt=ln(t−5)t−5.

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Chapter 5.2, Problem 75E

Chapter 5.2, Problem 77E

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Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.

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The family of all anti-derivatives of the derivative d m d t = ln ( t − 5 ) t − 5 .

Solution Summary: The author explains how to find the family of all anti-derivatives of the derivative mdt=cln(t-5)t-

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To find: The family of all anti-derivatives of the derivative dmdt=ln(t−5)t−5.

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Chapter 5 Solutions