00:01
For the given region, we're going to write the double integral over function f of a function f over the given region as an iterated integral and polar coordinates.
00:11
So in polar, we need to know what the angle theta range is between and what the radius r ranges between.
00:18
So the angle theta is going to start here, right? that's when theta is equal to pi over two.
00:27
Then i start sweeping out the angle until i hit down here.
00:32
That occurs when the angle theta is equal to 3 pi over 2.
00:38
Okay, so i'm going to take the integral from pi over 2, the 3 pi over 2.
00:45
I haven't figured out the r bounds yet, of f, and then that was d theta.
00:51
Now, da, we need to get the integrating factor.
00:55
There should be an r and then the r and the d3.
00:59
Okay, next we need to know what is the radius ranging between.
01:02
So the radius is the distance outward from the origin...