A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write

Writing the integral in polar coordinates is less taxing:

The region R is captured by the set of points (in polar, of course)

so that the integral is

In rectangular coordinates, we have to split up the region so that

where

and the integral is split into 3 over these regions,

english, cause i can’t you

its 50 miles away from the starting point