00:01
All right, here's a picture of y equals the cubit of x, and we're supposed to use the picture to estimate the area under it.
00:08
Okay, notice the scale is not the same.
00:11
On the y -axis, two is here, and four is here, and then these are 5 .10.
00:19
Okay, so here we have 10 plus 10, plus 10, 30.
00:29
That's about 10, 40.
00:32
This one and this one is about 1050.
00:36
This one and this one, this one, 60, maybe 65.
00:44
So my guess is the area is about 65.
00:48
Okay, now let's figure it out using integration.
00:51
It's the integral, 0 to 27, x to the 1 3rd, dx...