to estimate the value of the integral
,
where
.
1. Use the Midpoint rule with
to estimate the value of the integral
,
where
.
Answer:
With the Midpoint rule, we evaluate the value of the function in the center of four rectangles formed by the area. Thus we come up with the
points
and
The area of each rectangle is
2. Using your answer from the last equation, find the average value of the
function over the region specified above.
Answer:
