Explanation Given information: Suppose A ( x ) is the function that for each x > 0 is equal to the area under the graph of f ( t ) = t 2 from 0 to x . Calculation: The area under the graph of f ( t ) = t 2 can be written in terms of a definite integral as below. A r e a = ∫ 0 x f ( t ) d t = ∫ 0 x t 2 d t A r e a

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Chapter 4.5, Problem 1TF

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To Find: an equationthat defines A(x) in terms of a definite integral.

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Chapter 4.5, Problem 80P

Chapter 4.5, Problem 2TF

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Chapter 4 Solutions

Loose-leaf Version for Calculus

Ch. 4.1 - Prob. 1TB Ch. 4.1 - Prob. 2TB Ch. 4.1 - Prob. 3TB Ch. 4.1 - Prob. 0C Ch. 4.1 - Prob. 1C Ch. 4.1 - Prob. 2C Ch. 4.1 - Prob. 3C Ch. 4.1 - Prob. 4C Ch. 4.1 - Prob. 5C Ch. 4.1 - Prob. 6C

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an equationthat defines A ( x ) in terms of a definite integral.

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Chapter 4 Solutions