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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

Calculate the iterated integral.

24. 0 1 0 1 x y x 2 + y 2 d y d x

To determine

To estimate: The value of given iterated integral.

Explanation

Calculation:

First, compute the integral with respect to y.

0101xyx2+y2dydx=01[01xyx2+y2dy]dx=01x[(x2+y2)323]01dx

Apply the limit value for y,

0101xyx2+y2dydx=1301x[(x2+1)32x3]dx=1301[x(x2+1)32x4]dx=

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Chapter 15 Solutions

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