Solution
= Solution
For $x\leq c$, the <cumulative distribution function> is zero. For $x>c$, integrate the normalized <probability density function>:
$$
\boxed{F_X(x)=\begin{cases}0,&x\leq c,\\\displaystyle\int_c^x\theta c^\theta t^{-\theta-1}\,dt=1-\left(\frac cx\right)^\theta,&x>c.\end{cases}}
$$
It is continuous at $c$, increases to one, and is the <cumulative distribution function> of the stated <Pareto distribution>.