00:01
Okay, this one is, this is the x boundary.
00:05
X changes from 3 to 7, and y changes from 0 to 3.
00:14
So a double integral will do it.
00:16
And f of x, y, dy, dx, 0 to 3 for dy, and 3 to 7 for dx.
00:27
Okay? the other one is a polar coordinate, so we need this angle theta right there.
00:34
And it looks like sine of theta.
00:42
This is when sine of theta is 3 over 2.
00:47
So theta is pi over 3.
00:51
So theta is going to change from 0 to pi over 3.
00:58
And then r is going to change from 0 to...
01:08
Okay, actually, this one, we need to fix this one.
01:12
We got it wrong.
01:16
That's not 1.
01:17
The picture is misleading.
01:18
So this is 4.
01:21
So, okay, r is 0 to 4.
01:27
And then we need to find this angle.
01:29
So this is theta...