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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Calculate the double integral.

29. R x y 2 x 2 + 1 d A , R = { ( x , y ) | 0 x 1 , 3 y 3 }

To determine

To calculate: The value of given double integral over the region R.

Explanation

Formula used:

If g(x) is the function of x and h(y) is the function of y then,

abcdg(x)h(y)dydx=abg(x)dxcdh(y)dy

Given

The rectangular region is, R={(x,y)|0x1,3y3} .

Calculation:

Compute the given double integral by using the formula stated above.

Rxy2x2+1dA=01[33xy2x2+1dy]dx=01xx2+1dx33y2dy=12012xx2+1dx33y2dy

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Chapter 15 Solutions

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