Consider a function $h$ defined and continuous on $\mathbb{R}$ whose variation table is given below:

\begin{center}
\begin{tabular}{ | c | l c l | }
\hline
$x$ & $-\infty$ & 1 & $+\infty$ \\
\hline
 &  &  &  \\
Variations of $h$ &  & 0 &  \\
 & $-\infty$ &  &  \\
\hline
\end{tabular}
\end{center}

We denote $H$ the antiderivative of $h$ defined on $\mathbb{R}$ which vanishes at 0.\\
It satisfies the property:\\
a. $H$ is positive on $]-\infty; 0]$.\\
b. $H$ is increasing on $]-\infty; 1]$.\\
c. $H$ is negative on $]-\infty; 1]$.\\
d. $H$ is increasing on $\mathbb{R}$.