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# Exercice 1
## 1.
## 2.
-
## 4.
- $f$ est $C_{p.m.}$
- $f(x) \geq 0 \Leftrightarrow k \geq 0$
- $$
\begin{align}
\int^{+\infty}_{-\infty}f(t)dt &= \int^{+\infty}_{-\infty}ke^{-kt}dt \\
&= \int^{0}_{-\infty}ke^{-kt}dt + \int^{+\infty}_{0}ke^{-kt}dt \\
\end{align}
$$
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