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

% Ex. No. 60 (Section 14.1 : Variante intermédiaire : \TIKZ\ + \tkzname{tkz-fct})

	 \begin{tikzpicture}[scale=3]
	  \tkzInit[xmin=0,xmax=4,ymin=-1.5,ymax=1.5]
	  \tkzAxeY[label=$f(x)$]
	  \tkzDefPoint(1,0){x} \tkzDrawPoint[color=blue,size=0.6pt](x)
	  \shade[top color=gray!80,bottom color=gray!20] (1,0)%
	         plot[id=ln,domain=1:2.718] function{log(x)} |-(1,0);
	  \draw[color=blue] plot[id=ln,domain=0.2:4,samples=200]function{log(x)};
	  \tkzAxeX
	  \tkzText[draw,color= black,fill=brown!50](2,-1)%
	          {$\mathcal{A} = \int_1^{\text{e}}\ln(x)\text{d}x =%
	            \big[x\ln(x)\big]_{1}^{\text{e}} = \text{e}$}
	  \tkzText[draw,color= black,fill=brown!50](2,0.3){$\mathcal{A}$}
	 \end{tikzpicture}

\end{document}