# Math Help - Simpson's Rule-What am I doing wrong?

1. ## Simpson's Rule-What am I doing wrong?

Use Simpson's Rule and all the data in the following table to estimate the value of the integral S (with 10 at the bottom, 16 at the top) ydx .

x 10 11 12 13 14 15 16
y -8 5 -6 -6 -4 0 0

I keep getting 32 as my answer, however this is incorrect.
What am I doing wrong?
Thanks for any help/suggestions.

2. anyone?

3. Originally Posted by daneeyah
Use Simpson's Rule and all the data in the following table to estimate the value of the integral S (with 10 at the bottom, 16 at the top) ydx .

x 10 11 12 13 14 15 16
y -8 5 -6 -6 -4 0 0

I keep getting 32 as my answer, however this is incorrect.
What am I doing wrong?
Thanks for any help/suggestions.
by Simpson's rule we have:

$\int_{10}^{16}f(x)~dx \approx \frac 13 \left[ f(10) + 4[f(11) + f(13) + f(15)] + 2[f(12) + f(14)] + f(16) \right]$

is that what you did? can you continue?

Originally Posted by daneeyah
anyone?
begging is against the rules, and it really doesn't get your question answered any faster. someone will answer your question as soon as they see it if they are able to, so be patient.