Answer
$$\frac{4}{5}$$
Work Step by Step
Since
$$\int_{1}^{b} f(x) d x =1-b^{-1} $$
Then
\begin{aligned}
\int_{1}^{5} f(x) d x &=1-5^{-1} \\
&=1-\frac{1}{5} \\
&=\frac{4}{5}
\end{aligned}
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