Answer
$$-76$$
Work Step by Step
Given
$$\int_{1}^{9}\frac{\sqrt{u}-u^2}{u}du$$
Since
\begin{align*}
\int_{1}^{9}\frac{\sqrt{u}-2u^2}{u}du&=\int_{1}^{9}(u^{-1/2}-2u)du\\
&=2\sqrt{u}-u^2\bigg|_{1}^{9}\\
&=4-80=-76
\end{align*}
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