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:

integral^b_a 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 integral^b_a f(x)dx

The efficiency e (in % ) of an automobile engine is given by e = 0.768 s ? 0.00004 s 3 , where s is the speed (in km/h) of the car. Find the average efficiency with respect to the speed for s = 33km/h to s = 89km/h. Round the answer to one decimal place.

Please show every step in the process for better understanding.

Thank you.

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