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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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Section
BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Find 0 2 f ( x , y ) d x and 0 3 f ( x , y ) d y

14. f ( x , y ) = y x + 2

To determine

To estimate: The value of given integral.

Explanation

Given:

The function is f(x,y)=yx+2 .

Calculation:

Express the function as follows.

02(yx+2)dx=02(y(x+2)12)dx=y02(x+2)12dx

Compute the value of 02(yx+2)dx .

02(yx+2)dx=y[(x+2)12+112+1]02=y[(x+2)3232]02=y(23)[(x+2)32]02=y[23(x+2)32]02

Apply the limits and find the value of the integral as follows.

02(yx+2)dx=y(23)[(2+2)32(0+2)32]=y(23)[(4)32(2)32]

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Chapter 15 Solutions

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