Please find Fourier Transform of the signal $x(t)$ by using the Fourier transform of known signals(by using rectangular pulse signal). $x(t) = \begin{cases} \sin(\frac{\pi t}{2}) & 0 \le t \le 12\\ \sin(\frac{\pi (t - 20)}{2}) & 20 \le t \le 32\\ 0 & \text{else} \end{cases}$
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