TOFE Simpsons rule ? (1 Viewer)

[Mr Chi]

Can someone show me how to work this out using the two odds four evens method (not starting from y0)

Using simpsons rule with 5 function values find an estimate for the area underneath the curve y=2^x from -1 to 3.

 

[pLuvia]

3
∫ 2^xdx = 1/6[2³+4(2²+2⁰)+2(2¹)+2^-1
-1
Then you simplify and you should get the answer

 

[Lavenderpup]

There's also the table method (hahaha its strange but it works and doesn't require remembering much).
You could do it by writing out a table with they x and y, then writing 1 4242424242.......1 and then multiplying w and y for each and then finding the sum of all the wy and multiplying it by h/3. h being the amount between an x value ( eg 3-2 = 1)

Table:
x |-1 | 0 | 1 | 2 | 3 |
y |0.5 | 1 | 2 | 4 | 8 |
w | 1 | 4 | 2 | 4 | 1 |
wy| 0.5| 4 | 4 | 16| 8 |

Sum - 32.5 x 1/3
= 10.8333

 

[Mr Chi]

how do you get 1/6?

 

[Mountain.Dew]

how do you get 1/6?

it is part of the formula.

 

[word.]

it's meant to be 1/3

 

[PLooB]

how do you get 1/6?

It is really h/3 where h = (b-a)/n, where n is the number of slices you take.

 

[Dragie]

The Simpson Rule makes me smile =)
*Goes on murderous rampage*
I really don't know why they let me out of the Liverpudlian Asylum for Crazed Maniacs and Alcoholics Anonymous...