Choose Mode to Shoot Billiard Ball

\begin{multline} \text{Main Theorem: Define the length of the trajectory as $l(\theta, \epsilon)$. For some power $r \in \mathbb{N}$,}\\ \end{multline} \begin{multline} \lim_{\epsilon\rightarrow 0} \epsilon^r \frac{2}{\pi} \int_{0}^{\frac{\pi}{2}} (l(\theta, \epsilon))^r d\theta = \text{some }C_r > 0 \end{multline}

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