I'll set it up this time, though. We want to split [0, 5] into 10 subintervals. That means each subinterval would have to be units wide. Therefore, the values separating the subintervals are
Now we put these values into the formula.
Now evaluate the integrand (which I'm calling ) at each endpoint.
First of all here is a link to the Simpson's Rule with shown examples.
Secondly this integral can be solved directly using substitution rule.
Let then du=16tdt and .
Since x is changing from 0 to 5 then u is changing from 7 to 207 and your integral now is
Now, if you are still don't understand Simpson's rule than divide interval [0,5] on n=10 subintervals with length
Your function is
Therefore, by Simpson's rule approximation is
Plug values and calculate. For example