Integration problem involving simpsons rule plz help

• Mar 7th 2009, 05:33 PM
silverbird
Integration problem involving simpsons rule plz help
Hi everyone,

i have got this question due for tomorrow if you know how to do it could you please tell me the answer and how you got it, please keep in mind i am only in high school so keep the working simple :

http://img117.imageshack.us/img117/3249/question.jpg

if you can help me ill appreciate it thx.
• Mar 7th 2009, 06:49 PM
Reckoner
Simpson's Rule:

$\int_a^bf(x)\,dx$

$\approx\frac{b-a}{3n}\left[f(x_0)+4f(x_1)+2f(x_2)+4f(x_3)+2f(x_4)+\cdots+4f(x _{n-1})+f(x_n)\right],$

where $n$ is even.

You should use $[1,\,3]$ as your interval, with $n=4.$ To make things easier, you can bring the $\pi$ factor out of the integrand, and just use $[f(x)]^2$ in the above formula.

If you have any specific questions, then we can provide further help, but as this seems like a graded assignment you should not expect a full or detailed solution.
• Mar 7th 2009, 07:06 PM
silverbird
Can you or someone show me the working out it is only class work and goes towards nothing
• Mar 7th 2009, 07:35 PM
silverbird
Ok ill tell you what ill meet you half way, can i show you my working and you tell me if i have done it right if i haven't can someone tell me what i need to do
http://img5.imageshack.us/img5/6524/working.jpg
• Mar 7th 2009, 07:42 PM
Reckoner
Quote:

Originally Posted by silverbird
Ok ill tell you what ill meet you half way, can i show you my working and you tell me if i have done it right if i haven't can someone tell me what i need to do

Looks good to me!
• Mar 7th 2009, 11:15 PM
silverbird