I use tkz-fct but it produces weird result. I changed the code as indicated by Alain Matthes and it works for Area behind a curve but it doesn't work for Area between curves :
\documentclass[10pt,a4paper]{article}
\usepackage{tikz,tkz-tab,tkz-fct}
\begin{tikzpicture}[scale=1.3]
\tkzInit[xmin=-1,xmax=4,ymin=0,ymax=5]
\tkzGrid
\tkzAxeXY
\tkzFct[domain = -.5:4]{ 4*x-x**2+4/(x**2+1)**2}
\tkzFct[domain = -.5:4]{x-1+4/(x**2+1)**2}
\tkzDrawAreafg[color=green,domain = 1:3]
\tkzRep
\tkzText(5.2,3.5){$\displaystyle{\int_{1}^3 f(x)-g(x)dx}$}
\draw [->] (4.1,3.5) -- (2.6,3);
\tkzText(2.5,4.2){$\mathscr{C}_f$}
\tkzText(2.5,1.2){$\mathscr{C}_g$}
\end{tikzpicture}
\end{document}
Please, could someone help me ?