# Using the Laplace Transform Table in the textbook and Laplace

Using the Laplace Transform Table in the textbook and Laplace Transform Properties,find the (unilateral) Laplace Transforms of the following functions:
$$\displaystyle{u}{\left({t}\right)}-{u}{\left({t}-{1}\right)}$$

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$$\displaystyle∵{L}{\left\lbrace{u}{\left({t}-{a}\right)}\right\rbrace}={\frac{{{1}}}{{{s}}}}{e}^{{-{a}{s}}}$$
$$\displaystyle\therefore{L}{\left\lbrace{u}{\left({t}\right)}-{u}{\left({t}-{1}\right)}\right\rbrace}={\frac{{{1}}}{{{s}}}}-{\frac{{{1}}}{{{s}}}}{e}^{{-{s}}}={\frac{{{1}-{e}^{{-{s}}}}}{{{s}}}}$$