   Chapter 15.1, Problem 24E

Chapter
Section
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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