   Chapter 15.1, Problem 18E

Chapter
Section
Textbook Problem

Calculate the iterated integral.18.   ∫ 0 π / 6 ∫ 1 π / 2 ( sin x + sin y ) d y   d x

To determine

To estimate: The value of given iterated integral.

Explanation

Calculation:

First, compute the integral with respect to y.

0π60π2(sinx+siny)dydx=0π6[0π2(sinx+siny)dy]dx=0π6[(ysinxcosy)]0π2dx

Apply the limit value for y,

0π60π2(sinx+siny)dydx=0π6[(π2sinx0)(01)]dx=0π6(π2sinx+1)dx

Compute the integral with respect to x

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