The goal of this issue is to sketch the region and assess the expression using polar coordinates
using the values ,
| localid="1652361865068"
|
0 | 0 |
localid="1652361870625"
| 0.5 |
localid="1652361873973"
| 0.7071 |
localid="1652361878453"
| 0.8660 |
localid="1652361882858"
| 1.0 |
Use the table above to draw the region ,
elaborating the expressions,
localid="1652361900299"
We can integrating in terms of localid="1652361916107"
localid="1652361908352"
Substituting the limits of derivatives,
localid="1652361934374"
As a result, the integral value is localid="1652361944670"