2.
0.752926
4.
0.392691
8.
0.196343
16.
0.0981707
32.
0.0490851
64.
0.0245425
128.
0.0122712
4.
0.0000124037
8.
3.84792.10

6
16.
1.02215.10

6
32.
2.5963.10

7
64.
6.51689.10

8
128.
1.63086.10

8
4.
4.7079.10

6
8.
1.80363.10

6
16.
5.02887.10

7
32.
1.29292.10

7
64.
3.25516.10

8
128.
8.15226.10

9
Trapezoid Rule
Midpoint Rule
For the second part of Lab 1 in Calculus 172, we were to approximate the integral
r
0
p
E^
H

x^2
L
x
using Right Hand Riemann Sums, Midpoint Sums, and Trapezoid Sums.
Previously we had done so using the Left Riemann Sum method and are now testing
these methods as comparisons.
The purpose is to find out the approximation error with
each technique, compare them, and then use our results to possibly find a fifth formula
which can calculate our results even closer.
Using the right hand rule gave us the results below. In this table, the left column
shows the number of subintervals used and the right displays the equivalent
approximation error for the defined number of subintervals.
Our
results are very similar to those gained from using the Left Hand
rule.
This is to be expected as the Right Hand method is merely a
mirror of the other.
But what can we expect with the trapezoid and midpoint value
methods?
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 Spring '08
 Pietraho
 Calculus, Riemann Sums, right hand, Righthand rule, right hand rule

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