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## Homework Statement

*note that this is the graph of the derivitive of the function f(x).

## Homework Equations

Possibly the fundamental theorems of calculus?

## The Attempt at a Solution

I know this problem should be easy, but I am not seeing how my book comes to the answer. Below is the solution my book gives:

f(-2)=f(2) + [tex]\int[/tex]f

**'**(x)dx = 1-[tex]\frac{1}{2}[/tex]

The limits of integration are from 2 to -2

Obviously, the first part of the eqn is given, but what exactly does the integral do, and why should the limits be reversed? Furthermore, it seems that if you evaluated the eqn, you would end up with:

f(2) + f(-2) - f(2)

it seems like this would get you nowhere. . .

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