a) Explanation Given information: ∫ ...... d x = x 6 + C Concept and Formula Used: ∫ f ( x ) d x = F ( x ) + C , where F' ( x ) = f ( x ) Calculation: The given integration is ∫ ...... d x = x 6 + C Let the function be f ( x ) Therefore, ∫ f ( x ) d x = x 6 + C On comparing with b) To determine To fill: the blank x 6 is an antiderivative of ................. c) To determine To fill: the blank “The derivative of x 6 is ………….”

5th Edition

ISBN: 9781429241861

Author: Laura Taalman, Peter Kohn

Publisher: W. H. Freeman

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Question

Chapter 4.4, Problem 6C

To determine

To fill: the blank ∫......dx=x6+C

To determine

To fill: the blank x6 is an antiderivative of.................

To determine

To fill: the blank “The derivative of x6 is ………….”

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Chapter 4.4, Problem 5C

Chapter 4.4, Problem 7C

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Chapter 4 Solutions

Calculus

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the blank ∫ ...... d x = x 6 + C

Solution Summary: The author analyzes the function f(x), which is an antiderivative of x.

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To fill: the blank ∫......dx=x6+C

To fill: the blank x6 is an antiderivative of.................

To fill: the blank “The derivative of x6 is ………….”

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Chapter 4 Solutions