Explanation Given: ∫ 0 4 ∫ 0 x / 2 d y d x + ∫ 4 6 ∫ 0 6 − x d y d x Graph: Graph has been drawn using Desmos Graphing Calculator. Interpretation: The given integral is ∫ 0 4 ∫ 0 x / 2 d y d x = ∫ 0 4 [ y ] 0 x / 2 d x = ∫ 0 4 ( x 2 − 0 ) d x = ( x 2 4 ) 0 4 = ( 4 2 4 − 0 2 4 ) = 4 Now integral of ∫ 4 6 ∫ 0 6 − x d y d x = ∫ 4 6 [ y ] 0 6 − x d x = ∫ 4 6 ( ( 6 − x ) − 0 ) d x = ( 6 x − x 2 2 ) 4 6 = ( 6 ( 4 ) − 6 2 2 ) − ( 6 ( 2 ) −<

11th Edition

ISBN: 9781337275347

Author: Ron Larson, Bruce H. Edwards

Publisher: Cengage Learning

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Chapter 14.1, Problem 58E

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To graph: The region R whose area is given by iterated integral and then changing the order of integration.

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Chapter 14.1, Problem 57E

Chapter 14.1, Problem 59E

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Chapter 14 Solutions

Calculus (MindTap Course List)

Ch. 14.1 - CONCEPT CHECK Iterated Integral Explain what is...Ch. 14.1 - Prob. 2E Ch. 14.1 - Question: Evaluate the integral: 0x(2xy)dy Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...Ch. 14.1 - Evaluating an IntegralIn Exercises 310, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...Ch. 14.1 - Evaluating an Integral In Exercises 3-10, evaluate...

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To graph: The region R whose area is given by iterated integral and then changing the order of integration .

Solution Summary: The author illustrates the graph using Desmos Graphing Calculator. The given integral is cdisplaystyle

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To graph: The region R whose area is given by iterated integral and then changing the order of integration.

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Chapter 14 Solutions