The Accuracy of Simpson's Rule

[fonseh]

Homework Statement

For part b , Since 3/8 Simpson's rule and 1/3 Simpson's rule can't be applied directly to get the ans , so i have to apply both methods differently .

I
Why my ans is different with the author's one ? Is there anything wrong with my ans ?

Homework Equations

The Attempt at a Solution

n my third attachment , I apply the 1/3 Simpson's rule first ( for interval 0-4) , i get the ans = 3208

Then , I apply 3/8 Simpson's rule ( for interval 0-6) , i get ans = 3597.5 .

Sum of 3208 and 3597.5 = 6805.2 , but , in the author's working , The author apply 3/8 simspon's rule first , followed by 1/3 Simspon's rule , the author get the total ans = 7198.75 ...

 

[BvU]

Hello fonseh,

This exercise is an example of applying Simpson's rule. Do you know what that rule is based on ? Do you think it is always approriate to use when you look at a plot of v versus t ? Is it surprising that the deviation of two different subdivisions gives such a 5% deviation ?