SOLUTION: Suppose the average value of f(x) on the interval [3,6] is 50. Calculate the integral Upper limit: 6 Lower limit: 3 Function: f(x)dx What is the integral equals to? Su

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Question 1008056: Suppose the average value of f(x) on the interval [3,6] is 50.
Calculate the integral
Upper limit: 6
Lower limit: 3
Function: f(x)dx
What is the integral equals to?
Suppose a car travels in a straight line at an average velocity of 50 miles per hour. How far does the car travel from 3:00pm to 6:00pm?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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The integral of f(x) over the interval [3,6] is equal to 50*3 = 150.


Notice: The average value of a function f(x) over an interval [a,b] is, by the definition, the value of the integral 

        of f(x) over the interval [a,b] divided by the length of this interval (b-a).