0
00:00:00,000 --> 00:00:04,070
In the last section we computed the area under the bell curve.

1
00:00:04,070 --> 00:00:07,180
The bell curve is an incredibly important tool

2
00:00:07,180 --> 00:00:09,880
in probability and statistics.

3
00:00:09,880 --> 00:00:12,880
In probability and statistics, the area under the whole curve

4
00:00:12,880 --> 00:00:14,850
just gets us started.

5
00:00:14,850 --> 00:00:17,550
Typically what we really want to know

6
00:00:17,550 --> 00:00:19,790
is the area under a portion of the curve.

7
00:00:19,790 --> 00:00:22,450


8
00:00:22,450 --> 00:00:26,560
But there is no explicit formula for this integral.

9
00:00:26,560 --> 00:00:31,110
So what we do is make numerical approximations.

10
00:00:31,110 --> 00:00:33,150
In this section you'll learn how to compute

11
00:00:33,150 --> 00:00:35,040
integrals numerically.

12
00:00:35,040 --> 00:00:38,230
In fact, it turns out that most integrals,

13
00:00:38,230 --> 00:00:40,240
and solutions to differential equations,

14
00:00:40,240 --> 00:00:42,960
cannot be expressed with formulas.

15
00:00:42,960 --> 00:00:47,390
Numerical integration is the only way to compute them.

16
00:00:47,390 --> 00:00:48,000



