WEBVTT
1
00:00:02.140 --> 00:00:04.599 A:middle L:90%
Okay, so this is definitely a girl. We're
2
00:00:04.610 --> 00:00:07.580 A:middle L:90%
going to take the anti derivative of this term inside
3
00:00:07.580 --> 00:00:10.619 A:middle L:90%
here X squared minus three. And then apply the
4
00:00:10.619 --> 00:00:15.779 A:middle L:90%
net change there. So we can start with the
5
00:00:15.779 --> 00:00:20.550 A:middle L:90%
anti derivative of X squared X cubed over three.
6
00:00:21.940 --> 00:00:25.690 A:middle L:90%
and then for three just That would be three x
7
00:00:28.239 --> 00:00:31.149 A:middle L:90%
. Right upper bound of three. Lower negative too
8
00:00:32.439 --> 00:00:36.270 A:middle L:90%
. So now we can write this as. So
9
00:00:36.270 --> 00:00:39.250 A:middle L:90%
your plan that changed theorem plugging three for X.
10
00:00:39.250 --> 00:00:46.960 A:middle L:90%
We get three cubes over three-3 times three.
11
00:00:48.340 --> 00:00:54.280 A:middle L:90%
It's the first term. And then subtract negative two
12
00:00:54.289 --> 00:01:00.350 A:middle L:90%
cubed over three. Why is three times negative two
13
00:01:03.039 --> 00:01:06.230 A:middle L:90%
sort of valuing this? We can get three cubed
14
00:01:06.230 --> 00:01:11.659 A:middle L:90%
just 27 over three Most three times 3 is nine
15
00:01:14.640 --> 00:01:19.859 A:middle L:90%
from this. We subtract negative two cubed. Um
16
00:01:19.640 --> 00:01:25.959 A:middle L:90%
She'll be negative 8/3-3 times. To give to
17
00:01:26.439 --> 00:01:29.159 A:middle L:90%
some minus negative six which would just be plus six
18
00:01:30.540 --> 00:01:36.060 A:middle L:90%
. But now 27/3 is nine so 9-9.
19
00:01:36.439 --> 00:01:38.239 A:middle L:90%
This first term will cancel out. So we get
20
00:01:38.239 --> 00:01:49.489 A:middle L:90%
negative negative eight over three, then Get a common
21
00:01:49.489 --> 00:01:56.379 A:middle L:90%
denominator. We can change this six into 18 over
22
00:01:56.379 --> 00:02:02.090 A:middle L:90%
three, so 18/3 minus 8/3 will be 10/3 to
23
00:02:02.090 --> 00:02:06.750 A:middle L:90%
add that negative side in front. Get negative 10/3
24
00:02:07.439 --> 00:02:07.659 A:middle L:90%
as our answer.