Example
14. Let
over
. Use
the Midpoint Rule to approximate the value of the integral.
Solution 14.
|
m sample points |
MidPointRule[a,b,m] |
|
1 |
|
|
2 |
|
|
4 |
|
|
6 |
|
|
8 |
|
|
10 |
|
|
12 |
|
|
14 |
|
|
16 |
|
|
20 |
|
|
24 |
|
|
28 |
|
|
32 |
|
|
40 |
|
|
50 |
|
|
60 |
|
|
70 |
|
|
80 |
|
|
100 |
|
|
120 |
|
![[Graphics:../Images/RiemannSumMod_gr_304.gif]](../Images/RiemannSumMod_gr_304.gif)
Animation 5. ( Midpoint Rule Midpoint Rule ). Internet hyperlink.
(c) John H. Mathews 2004