SOLUTION: Find the average value of the function f(x)= 3/(2x) over the interval [e^2,e^3]

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Question 1060835: Find the average value of the function f(x)= 3/(2x) over the interval [e^2,e^3]
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the average value of the function f(x)= 3/(2x) over the interval [e^2,e^3]
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= %28f%28e%5E3%29+-+f%28e%5E2%29%29%2F%28e%5E3+-+e%5E2%29
= %283%2F%282e%5E3%29+-+3%2F%282e%5E2%29%29%2F%28e%5E3+-+e%5E2%29
= %283%2F2%29%2A%281%2F%28e%5E3%29+-+1%2F%28e%5E2%29%29%2F%28e%5E3+-+e%5E2%29
= %283%2F2%29%2A%28%281-e%29%2F%28e%5E3%29%29%2F%28e%5E3+-+e%5E2%29
=~ -0.203