make pdf file generation work
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@@ -88,14 +88,14 @@ Though not continuous, $f(x)$ is integrable as it contains only jumps. The integ
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What is the average value of the function $e^{-x}$ between $0$ and $\log(2)$?
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$$
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\begin{align*}
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\text{average} = \frac{1}{\log(2) - 0} \int_0^{\log(2)} e^{-x} dx\\
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&= \frac{1}{\log(2)} (-e^{-x}) \big|_0^{\log(2)}\\
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&= -\frac{1}{\log(2)} (\frac{1}{2} - 1)\\
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&= \frac{1}{2\log(2)}.
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\end{align*}
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$$
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Visualizing, we have
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