use the convolution theorem to prove the time integration formula text
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Use the Convolution Theorem to prove the time integration formula: \text { if } \mathcal{L}[f(t)]=F(s), \quad \text { then } \quad \mathcal{L}\left[\int_{0}^{t} f(\tau) d \tau\right]=\frac{1}{s} F(s) .