00:01
So in this problem, we are giving the double integral, the integral from 0 to 1, then the integral girl from 1 to e to the x of 1, the y, the x, and we are asked to reverse the order and evaluate.
00:18
So here we know that x ranges from 0 to 1, and that y ranges between 1 and e to the x.
00:27
Let's try to sketch what this looks like right on the right side here.
00:32
So we have the function e to the x.
00:34
So let's just sketch that function.
00:37
Y equals e to x.
00:39
Y cause 1, which will be this horizontal line at the level of y because 1.
00:48
And we also have that x ranges from 0 to 1.
00:51
So x equals 0 to x equals 1.
00:54
X equals 1, x equals 1 will be somewhere here in the right side.
00:56
And x equals 1 will be there.
00:59
And x equals 0 will be on the y axis.
01:04
So the region that we're referring to is a region enclosed by all of this...