Homework Six

Perform the following tasks:

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Nick Christman

(a) Show ${\mathcal {F}}\left[\int _{-\infty }^{t}s(\lambda )\,d\lambda \right]={\frac {S(F)}{j2\pi f}}{\mbox{ if }}S(0)=0$

(b)If Failed to parse (unknown function "\math"): {\displaystyle S(0) \neq 0 <\math> can you find <math> \mathcal{F}\left[ \int_{- \infty}^{t} s(\lambda ) \,d\lambda \right] } in terms of S(0)?

(c)