f(m)dm=f(c)(ba) The average value of a function on the interval [0,; b] is determined by Average value = i f: f (3: The efciency 8 (in % ) of an...

[a] = 3 and [d] = 1

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. 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: