How do I find the averge value of the function g(x) on the interval [1, + infinity]?

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I know how to find the average value of functions on an interval, but I am having trouble finding the average value of this function with the interval going to positive infinity. I tried doing what the hint says, but I'm not sure if I am on the right track. Can anyone suggest anything? Thank You!

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Given the amount of your homework you have posted in the past four hours...

Hint: $u = \frac{\pi}{x}$.