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\input{preamble-standalone.ltx}
\begin{document}

% Ex. No. 33 (Section  8.10 : Mélange de style)

\begin{tikzpicture}[scale=2.5]
   \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[between=a and b,color=green,domain = 1:4]
  \tkzDrawAreafg[between=a and b,pattern=north west lines,domain = -.5:1]
   \tkzRep
   \tkzText(2.5,4.5){$C_f$}
   \tkzText(2.5,1){$C_g$}
\end{tikzpicture}%

\end{document}