WEBVTT
1
00:00:00.400 --> 00:00:04.870 A:middle L:90%
So this problem is that a work and force,
2
00:00:05.000 --> 00:00:10.119 A:middle L:90%
They give you the height and area. That's pretty
3
00:00:10.130 --> 00:00:12.220 A:middle L:90%
pretty much the same thing. You know, there's
4
00:00:12.220 --> 00:00:17.179 A:middle L:90%
a frugal area under a curve in this case curve
5
00:00:17.179 --> 00:00:20.190 A:middle L:90%
. It's like a three dimensional Cruyff. I mean
6
00:00:20.190 --> 00:00:25.289 A:middle L:90%
, the curve in this three dimensions So still in
7
00:00:25.289 --> 00:00:31.640 A:middle L:90%
integral height. Yes. And this is given by
8
00:00:33.539 --> 00:00:38.079 A:middle L:90%
by this this quantity so is the curve. His
9
00:00:38.079 --> 00:00:42.820 A:middle L:90%
paramour tries this way. So excess ten Cose I
10
00:00:42.820 --> 00:00:49.020 A:middle L:90%
Inti why's tensai Inti? And he built his one
11
00:00:49.020 --> 00:00:53.259 A:middle L:90%
serves its a circular for feds Uh, t goes
12
00:00:53.259 --> 00:01:03.270 A:middle L:90%
from zero to to pie and the see whole farm
13
00:01:04.000 --> 00:01:07.719 A:middle L:90%
. Okay. And we have this and we have
14
00:01:07.719 --> 00:01:11.319 A:middle L:90%
to figure out Yes Ah which is dear City Square
15
00:01:11.319 --> 00:01:12.719 A:middle L:90%
, A prostitute. Why did he square take a
16
00:01:12.719 --> 00:01:17.719 A:middle L:90%
square room and dt And that should be true abuse
17
00:01:17.719 --> 00:01:19.430 A:middle L:90%
. We just have science school, cause I square
18
00:01:19.439 --> 00:01:23.560 A:middle L:90%
add up to what? And nothing having ten tt
19
00:01:26.500 --> 00:01:30.269 A:middle L:90%
and he goes from zero to two pi for which
20
00:01:30.280 --> 00:01:34.810 A:middle L:90%
we have tio to write out X squared minus y
21
00:01:34.810 --> 00:01:38.969 A:middle L:90%
square replaced by this. So we have zero point
22
00:01:38.969 --> 00:01:42.870 A:middle L:90%
zero one times ah hundred co sign squared T minus
23
00:01:42.879 --> 00:01:49.750 A:middle L:90%
a hundred science qwerty I remember the asses ten vt
24
00:01:53.530 --> 00:01:56.719 A:middle L:90%
So let's try to simplify this. There was a
25
00:01:56.730 --> 00:02:00.209 A:middle L:90%
to pi So a hundred points, you're one out
26
00:02:00.219 --> 00:02:06.665 A:middle L:90%
. Cancel. Um, maybe we put a tenant
27
00:02:06.674 --> 00:02:16.604 A:middle L:90%
from this might be easier. Zero to two pi
28
00:02:17.395 --> 00:02:22.314 A:middle L:90%
four. Plus, we just have co sign squared
29
00:02:22.314 --> 00:02:25.115 A:middle L:90%
minus sign square, which is called science Tootie on
30
00:02:25.115 --> 00:02:37.905 A:middle L:90%
TT the two pi forty plus scientist He over too
31
00:02:38.705 --> 00:02:40.844 A:middle L:90%
. I'LL recite ou t the value of two pines
32
00:02:40.844 --> 00:02:44.044 A:middle L:90%
here are the same So we don't really have to
33
00:02:44.044 --> 00:02:46.835 A:middle L:90%
worry about this one. We just have the word
34
00:02:46.835 --> 00:02:49.805 A:middle L:90%
about forty. So if we plug in to pie
35
00:02:50.594 --> 00:02:54.705 A:middle L:90%
, we end up getting eight pi and, uh
36
00:02:55.194 --> 00:02:58.094 A:middle L:90%
, times ten. So is eighty pie.