Question

Solve a definite integral using Simpson's Rule

Answer 1

\[\int\limits_{0}^{6}x ^{2}dx\]

Answer 2

Using Simp(2)

Answer 3

This is just chug and plug I believe.

Answer 4

it will be the same as the actual answer

Answer 5

what?

Answer 6

Yes Zarkon is right, but actually simpson formula would be tedious in this case.

Answer 7

simpsons rule is exact for a quadratic function

Answer 8

lol fool i need to use it though

Answer 9

can you tell me the formula of simpson's rule?

Answer 10

6/6[ f(0) + 4f( .5 ) + 2f(1) + 4f(1.5) + 2f( 2) + 4f( 2.5) + 2f( 3) + 4f ( 3.5) + 2f( 4) + 4f (4.5 ) +2 f( 5) +4 f( 5.5 ) + f( 6) ]

Answer 11

http://en.wikipedia.org/wiki/Simpson%27s_rule

Answer 12

Btw If I remember correctly there is another constraints that should be involved which is number of decimal places.

Answer 13

oh Thanks Zarkon :D

Answer 14

Well we learnt the formula (2M+T)/3

Answer 15

I guess this is pretty tedious

Answer 16

try computing the error estimate :)

Answer 17

Yes it is but this formula useful for somewhat complicated integrals.

Answer 18

yea, som thing cannot be integrated( easily) this is sometime a way to approximate a solution.

Answer 19

Thanks zarkon <Roachie and fool

Answer 20

just try to have fun with it!

Answer 21

LOL Trying but mt brain is fried lol

Answer 22

you can find the definite integral?

Answer 23

lol I am in the midst of figuring it out

Answer 24

ok then do it with Simp and see!