Explanation Given: f ( x , y ) = − 2 ; 0 ≤ x ≤ 3 , 1 ≤ y ≤ e Formula used: The integral formula ∫ d x = x and, ∫ e x = e x Calculation: To calculate double integral ∫ ∫ 0 f ( x , y ) d A , where 0 denotes the point 0 ≤ x ≤ 3 , 1 ≤ y ≤ e x first calculate the inner integral with respect to ‘ y’ S ( x ) = ∫ 1 e x − 2 d y = − 2 [ y ] 1 e x

4th Edition

ISBN: 9781319434526

Author: Rogawski

Publisher: MAC HIGHER

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Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differ…

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Chapter 16.2, Problem 18E

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Evaluate the double integral of f(x,y)=−2 over the domain 0≤x≤3,1≤y≤ex.

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Chapter 16.2, Problem 17E

Chapter 16.2, Problem 19E

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Chapter 16 Solutions

CALCULUS 4E (LL) W/ ACHIEVE ACCESS

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Evaluate the double integral of f ( x , y ) = − 2 over the domain 0 ≤ x ≤ 3 , 1 ≤ y ≤ e x .

Solution Summary: The author explains how to calculate the double integral of f(x,y)=-2 over the domain.

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Evaluate the double integral of f(x,y)=−2 over the domain 0≤x≤3,1≤y≤ex.

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Chapter 16 Solutions