   Chapter 15.1, Problem 16E

Chapter
Section
Textbook Problem

Calculate the iterated integral.16. ∫ 0 1 ∫ 0 1 ( x + y ) 2 d x   d y

To determine

To calculate: The value of given double iterated integral.

Explanation

Calculation:

First, compute the integral with respect to x.

0101(x+y)2dxdy=01[01(x2+2xy+y2)dx]dy=01[(x33+x2y+xy2)]02dy

Apply the limit value for x,

0101(x+y)2dxdy=01((133+12y+1

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