Integration Trick: \(\frac{\sin(\theta)}{\theta} = \frac{1}{2} \int_{-1}^{1} \mathrm{e}^{i\theta x} dx\)

The substitution
\begin{equation}
\frac{\sin(\theta)}{\theta} = \frac{1}{2} \int\limits_{-1}^{1} \mathrm{e}^{i\theta x} dx
\end{equation}
comes in handy from time to time. A good example of how it is used can be found here.

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