   Chapter 15.1, Problem 21E

Chapter
Section
Textbook Problem

Calculate the iterated integral.21. ∫ 1 4 ∫ 1 2 ( x y + y x ) d y   d x

To determine

To estimate: The value of given iterated integral.

Explanation

Calculation:

First, compute the integral with respect to y.

1412(xy+yx)dydx=14[12(xy+yx)dy]dx=14[xlny+1x.12y2]12dx

Apply the limit value for y,

1412(xy+yx)dydx=14[(xln2+1x.222)(xln1+1x.12)]dx=14(xln2+42x12x)dx

Compute the integral with respect to x

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