WEBVTT
1
00:00:00.840 --> 00:00:05.950 A:middle L:90%
problem is we arrived at for Miller Expanse. The
2
00:00:05.950 --> 00:00:08.050 A:middle L:90%
Republic, too. Way is they want you.
3
00:00:08.839 --> 00:00:12.039 A:middle L:90%
This lines. This is your doing cylindrical shelves.
4
00:00:12.179 --> 00:00:15.550 A:middle L:90%
Now we can use interpretation. My most brilliant.
5
00:00:16.140 --> 00:00:20.609 A:middle L:90%
Using the slicing My third off of section six point
6
00:00:20.609 --> 00:00:24.300 A:middle L:90%
You leased the case. Wired half is one to
7
00:00:24.309 --> 00:00:30.000 A:middle L:90%
one and therefore has a humorous function Gene, use
8
00:00:30.000 --> 00:00:33.049 A:middle L:90%
a figure to show that we used to go to
9
00:00:33.049 --> 00:00:38.929 A:middle L:90%
pine disquiet The mice Hi described seeing minus interior from
10
00:00:38.939 --> 00:00:48.570 A:middle L:90%
st today High U Y squire watch and making a
11
00:00:48.570 --> 00:00:54.119 A:middle L:90%
substitution. Why goto Max And then use integration.
12
00:00:54.119 --> 00:00:58.289 A:middle L:90%
My parts on the resulting integral. To prove that
13
00:00:58.299 --> 00:01:00.049 A:middle L:90%
Bea is they got you into girl from a to
14
00:01:00.060 --> 00:01:07.090 A:middle L:90%
B two packs. Relax, Tex. Now let's
15
00:01:07.090 --> 00:01:12.709 A:middle L:90%
see this graph. No way is the volume when
16
00:01:12.709 --> 00:01:23.280 A:middle L:90%
we rotate thiss part I won this part The moment
17
00:01:23.280 --> 00:01:26.599 A:middle L:90%
will take his place. A regent about why access
18
00:01:27.640 --> 00:01:36.310 A:middle L:90%
then this's athletics and the volume of this week on
19
00:01:36.310 --> 00:01:45.579 A:middle L:90%
DH. If we rotate thiss rectangle about y axis
20
00:01:46.739 --> 00:01:51.430 A:middle L:90%
, we have volume. This is hi Hey square
21
00:01:51.530 --> 00:01:57.939 A:middle L:90%
have seen ifwe don't taint a big rectangle about y
22
00:01:57.939 --> 00:02:04.650 A:middle L:90%
axes. I want you. Is this part on
23
00:02:04.650 --> 00:02:14.830 A:middle L:90%
the way? Rotate this region reading too about why
24
00:02:14.830 --> 00:02:19.129 A:middle L:90%
? Axes in the water. It's this part.
25
00:02:20.620 --> 00:02:23.729 A:middle L:90%
So from this graph, it is clear we use
26
00:02:23.729 --> 00:02:30.080 A:middle L:90%
the cultural this part of minus this part on minus
27
00:02:30.090 --> 00:02:36.360 A:middle L:90%
this part Hard minus. This is too small heart
28
00:02:37.020 --> 00:02:43.800 A:middle L:90%
. That's it. Come to this part now if
29
00:02:43.800 --> 00:02:49.430 A:middle L:90%
substitution why go to after? Relax then we have
30
00:02:53.240 --> 00:02:59.759 A:middle L:90%
expenses equal to T. Why this wise? The
31
00:02:59.759 --> 00:03:05.080 A:middle L:90%
humorous function All Blacks now into girl I'm saying to
32
00:03:05.319 --> 00:03:12.479 A:middle L:90%
you Hi. Gee, why? Squire? You
33
00:03:12.490 --> 00:03:20.939 A:middle L:90%
know why it's cultural. So we have Here is
34
00:03:21.090 --> 00:03:27.560 A:middle L:90%
the axis of the two. Do you want the
35
00:03:30.520 --> 00:03:37.759 A:middle L:90%
why? This's in cultural integral from state to state
36
00:03:38.819 --> 00:03:51.229 A:middle L:90%
. Hi, I'm exploring terms. So here.
37
00:03:53.400 --> 00:03:57.550 A:middle L:90%
So here we don't need just one is wise He
38
00:03:57.550 --> 00:04:01.837 A:middle L:90%
goto earthworks. You want to two half flux from
39
00:04:02.217 --> 00:04:06.717 A:middle L:90%
the ex This is he going with this one and
40
00:04:06.728 --> 00:04:15.437 A:middle L:90%
then use substitution used integration Pars become light you is
41
00:04:16.108 --> 00:04:21.997 A:middle L:90%
expired and the problem is they tow truck. Then
42
00:04:23.468 --> 00:04:30.327 A:middle L:90%
you promise to lax The three is equal to I've
43
00:04:30.978 --> 00:04:38.317 A:middle L:90%
axe and this integral is you go to when he
44
00:04:38.317 --> 00:04:40.827 A:middle L:90%
was a farm owner of into question my parts But
45
00:04:40.827 --> 00:04:45.637 A:middle L:90%
this isn't going to you house. We this is
46
00:04:46.778 --> 00:04:54.778 A:middle L:90%
I score. This is pi times I scored square
47
00:04:54.827 --> 00:05:06.338 A:middle L:90%
pounds off works from See Teo Now see here.
48
00:05:08.997 --> 00:05:13.918 A:middle L:90%
One way. Use this substitution if. Why?
49
00:05:13.927 --> 00:05:16.468 A:middle L:90%
From sea to Dean. Access from a to B
50
00:05:16.538 --> 00:05:23.487 A:middle L:90%
. This is and to be here. This is
51
00:05:23.487 --> 00:05:31.408 A:middle L:90%
from a minus into grow your crown Ma'am sleeves this
52
00:05:31.408 --> 00:05:39.867 A:middle L:90%
his two lives for life? Yes, from I
53
00:05:39.877 --> 00:05:44.627 A:middle L:90%
need to be. But this is e cultural.
54
00:05:44.987 --> 00:05:56.517 A:middle L:90%
Hi. Esquire is the minus. Hi. A
55
00:05:56.517 --> 00:06:03.870 A:middle L:90%
squire a C minus into grow a to B too
56
00:06:03.879 --> 00:06:14.009 A:middle L:90%
high x Lex Jax, this is Auntie Girl on
57
00:06:14.029 --> 00:06:19.829 A:middle L:90%
this part. So Wei is cultural. I be
58
00:06:19.839 --> 00:06:26.449 A:middle L:90%
squired from Stevie minus by a squire And see my
59
00:06:26.449 --> 00:06:33.800 A:middle L:90%
ass this light just hide d squared times Hi.
60
00:06:33.810 --> 00:06:42.470 A:middle L:90%
A square times my justice two hi's life sticks.
61
00:06:46.160 --> 00:06:49.089 A:middle L:90%
This's exactly this one.