- #1

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**https://imgur.com/a/Maq1N**

1. Homework Statement

1. Homework Statement

Attached above is the problem statement. Essentially, they've given two different volumes involving some unknown function f(x) and ask that you find its average value over the given closed interval.

## Homework Equations

Relevant equations include the fundamental theorem of calculus as well as the mean value theorem for integrals.

## The Attempt at a Solution

As you may or may not see, depending on how hard my work is to follow, I've attempted to use the given information in such a way that I might find the value for "F(7) - F(1)". I'm not sure if what I did was valid or not. I took the sqrt(f(7)2 - f(1)2 = 2) to get f(7) - f(1) = sqrt(2). It may be that I need to actually solve for F(7) and F(1)? Any help is greatly appreciated as I have no way to check my answer.