To determine Calculate the value of the iterated integral . Explanation Given information: The integral is ∫ 1 4 ∫ 1 e ln x x y d x d y . Calculation: Express the integral as follows: ∫ 1 4 ∫ 1 e ln x x y d x d y (1) Equation (1) can be written as follows: ∫ 1 4 ∫ 1 e ln x x y d x d y = ∫ 1 4 { ∫ 1 e ln x x y d x } d y (2) Take the value of u as ln x . Express the differential value of u as follows: d u d x = 1 x d x = x d u Substitute u for ln x and x d u for d x in Equation (2). ∫ 1 4 ∫ 1 e ln x x y d x d y = ∫ 1 4 { ∫ 1 e u x y x d u } d y = ∫ 1 4 {

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Chapter 14.1, Problem 13E

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Calculate the value of the iterated integral.

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Chapter 14.1, Problem 12E

Chapter 14.1, Problem 14E

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Ch. 14.1 - In Exercises 1-14. evaluate the iterated...Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated integral....Ch. 14.1 - In Exercises 1-14, evaluate the iterated...Ch. 14.1 - In Exercises 1-14, evaluate the iterated integral....Ch. 14.1 - Prob. 10E

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