Explanation Given: f ( x , y ) = x 3 y ; 0 ≤ x ≤ 5 , x ≤ y ≤ 2 x + 3 Formula used: The integral formula ∫ x n d x = x n + 1 n + 1 Calculation: To calculate double integration ∫ ∫ 0 f ( x , y ) d A , where 0: 0 ≤ x ≤ 5 , x ≤ y ≤ 2 x + 3 first, calculate the inner integral with respect to ‘ y’ treating ‘ x’ as constant and y varies from ‘ x’ to ' 2 x + 3 ' . S ( x ) = ∫ x 2 x + 3 x 3 y d y = x 3 [ y 2 2 ] x 2 x + 3 = x 3 [ 3 x 2 + 12 x + 9 2 ]

4th Edition

ISBN: 9781319050733

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 17E

To determine

Compute the double integral of

f(x,y)=x3y over the domain 0 where 0 is 0≤x≤5,x≤y≤2x+3.

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Chapter 16.2, Problem 16E

Chapter 16.2, Problem 18E

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Chapter 16 Solutions

CALCULUS (CLOTH)

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Compute the double integral of f ( x , y ) = x 3 y over the domain 0 where 0 is 0 ≤ x ≤ 5 , x ≤ y ≤ 2 x + 3.

Solution Summary: The author explains how to calculate the double integral of f(x,y)=x3y over the domain 0.

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Compute the double integral of

f(x,y)=x3y over the domain 0 where 0 is 0≤x≤5,x≤y≤2x+3.

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Chapter 16 Solutions

Compute the double integral of f ( x , y ) = x 3 y over the domain 0 where 0 is 0 ≤ x ≤ 5 , x ≤ y ≤ 2 x + 3.

Solution Summary: The author explains how to calculate the double integral of f(x,y)=x3y over the domain 0.

Concept explainers

Videos

Compute the double integral of f(x,y)=x3y over the domain 0 where 0 is 0≤x≤5,x≤y≤2x+3.

Want to see the full answer?

Chapter 16 Solutions

Compute the double integral of

f(x,y)=x3y over the domain 0 where 0 is 0≤x≤5,x≤y≤2x+3.