For the expansion I need the value of the integral of $a_o$ = $\frac{1}{2\pi} \int_{-\pi}^\pi \frac{\sin{x}}{x} dx$. But I can't find an easy understandable way to integrate it. Instructor asked to do an inproper integral, but I couldn't. Can anyone here assist me how to exactly to it?
2026-04-09 06:12:07.1775715127
Fourier Expansion *NOT Fourier Transform* of $\frac{\sin(x)}{x}$ in the domain of $[-\pi:\pi]$
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