Explanation Given: ∫ 1 2 ∫ 2 4 e 3 x − y d y d x Calculation: Step 1: ∫ 2 4 e 3 x − y d y Compute the indefinite integral ∫ e 3 x − y d y Apply u substitution: u = 3x-y = ∫ e 3 x − y d y = − ∫ e u d u = − e u = − e 3 x − y Add a constant C = − e 3 x − y + C Step 2: Compute the boundaries ∫ 2 4 e 3 x − y d y Formula used: ∫ a b f ( x ) d x = F ( b ) − F ( a ) = lim x → b − ( F ( x ) ) - lim x → a + ( F ( x ) ) lim y → 2 + ( − e 3 x − y ) = − e 3 x − 2 lim y → 4 − ( − e 3 x − y ) = − e 3 x − 4 ∫ 2 4 e 3 x − y d y = − e 3 x − 4 − ( − e 3 x − 2 )

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 16.1, Problem 32E

To determine

Evaluate the iterated integral $\int_{1}^{2} \int_{2}^{4} e^{3 x - y} d y d x$

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Chapter 16.1, Problem 31E

Chapter 16.1, Problem 33E

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In Exercises 19-36, evaluate the iterated integral.

Chapter 16 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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