Originally Posted by

**adkinsjr** I'm clueless when it comes to proving theorems. It's frustrating that I don't really know what I'm expected to do. I can draw diagrams, and test the theorem for specific functions, but I don't know where to begin on proving the theorem in general.

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Theorem

If $\displaystyle f$ is continuous on $\displaystyle \Re$, prove that

$\displaystyle \int_{a}^{b}f(-x)dx=\int_{-b}^{-a}f(x)dx$

for the case that $\displaystyle f(x)\geq 0$ and $\displaystyle 0<a<b$.

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