# Thread: Integration problem involving simpsons rule plz help

1. ## 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 :

if you can help me ill appreciate it thx.

2. Simpson's Rule:

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

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

where $\displaystyle n$ is even.

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

3. Can you or someone show me the working out it is only class work and goes towards nothing

4. 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

5. 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!