Answer
$$\frac{26}{81}$$
Work Step by Step
\begin{align*}
\int_1^3r^{-4}dr&= \frac{-1}{3} r^{-3}\bigg|_1^3\\
&=\frac{1}{3}\left(1-\frac{1}{27}\right)\\
&= \frac{26}{81}
\end{align*}
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