Martinez's Fourier Assignment

Solve for a₃ for the waveform below:

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T=6 seconds

<math>\begin{align}

a_n &= \frac{2}{T}\int_0^T f(t)\cos(n\omega_0t)\, dt\\
b_n &= \frac{2}{T}\int_0^T f(t)\sin(n\omega_0t)\, dt\\

\because \T=6, dt\\ \end{align}