Question:
The area of a region under a curve is greater than the area of an inscribed rectangle and less than the area of a circumscribed rectangle.
![810_figure.jpg](https://secure.tutorsglobe.com/CMSImages/810_figure.jpg)
Intuitively, we understand that somewhere "between" the inscribed and circumscribed rectangles there is a rectangle whose area is precisely equal to the area of the region under the curve:
a∫b f(x) dx = f(c)(b-a)
The average value of a function on the interval [a;b]is determined by
Average Value = (1/b-a) a∫bf(x)dx
The efficiency e (in % ) of an automobile engine is given by e = 0.768s - 0.00004s3, where s is the speed (in km/h) of the car. Find the average efficiency with respect to the speed for S = 32 km/h to S = 83 km/h. Round the answer to one decimal place.