00:01
So we'd like to evaluate the circle of 3da over the region r.
00:07
And our region r is just goes from negative 2 to 2 in x and 1 to 6 in y.
00:16
So first thing i'd like to do is understand what our region is.
00:19
So our region is just the rectangle described from negative 2 to 2.
00:26
You draw a little smaller around negative 2 to 2 and from 1 to 6.
00:31
So this is 1, 6, negative 2, and 2.
00:36
So our region is just this rectangle here.
00:45
I'll draw a little better.
00:46
So our region is just this rectangle.
00:55
Okay, so now that we know our r, we'd like to understand what exactly our integrand is.
01:03
So we can interpret this as volume to make it easier to evaluate.
01:10
So if we interpret this as an integral of a function of x and y, da, then the graph of the function is just three...