# Python ICE 6

Given uniformly spaced points
\(a=x_0\lt x_1\lt \dots\lt x_n=b\),
with \(x_{i+1}-x_i=h\) for every \(i\),
the composite midpoint rule for approximating
the integral of a function \(f\) is given by
$$
\int_a^b f(x) dx\approx
\sum_{i=0}^{n-1} f\left(\frac{x_i+x_{i+1}}{2}\right) h
$$
Write a Python function called `midpoint` to evaluate
a midpoint rule approximate to any function \(f\)
we specify.
We will call the midpoint function
as `midpoint(f,a,b,n)`, with arguments as
in our other approximate integral functions.

The "final exam" for this course will take place
at 8:00 AM on Tuesday, 12 December. This will be an ordinary
50 minute test. It will be comprehensive, but weighted toward
the latter half of the semester. As always, paper notes will
be permitted, but no electronic devices will be allowed.
A sample exam is available.

A
Solution example is available
for the quiz. The solution to
Test 1 is still available too.

The ultimate assignment is posted.