Answer:
Step-by-step explanation:
We want to approximate the integral
using n = 4.
The Midpoint Rule is given by
where
We know that a = 0, b = 64 and n = 4. Therefore, .
We need to divide the interval [0, 64] into 4 sub-intervals of length ; 0, 16, 32, 48, 64.
Now, we just evaluate the function at these endpoints:
Finally, just sum up the above values and multiply by