LaTeX Forum

\begin{tabular}{l|l}
Allgemeine Vorgehensweise																	&Beispiel													\\
\hline
geg.: $f(x), f(x)\geq0 f.\forall c\in[a;b]$								&$f(x)=x^2 f.\forall x\in[0;4]$		\\
&\\

\begin{tikzpicture}[domain=0:4, scale=0.4, yscale=0.25]
\draw[->] (0,0)--(4.5,0);
\draw [->] (0,0)--(0,16.5);
\draw [color=blue]	plot	(\x,{\x^2});
\foreach \x in{1,2,3,4}
		\draw (\x,1pt)--(\x,-1pt)		node[below]{\x};
\foreach \y in{4,8,12,16}
	\draw(1pt,\y)--(-1pt,\y)		node[left]{\y};
\draw (0,0) rectangle (1,0.25);
\draw (1,0) rectangle (2,9/4);
\draw (2,0) rectangle (3,25/4);
\draw (3,0) rectangle (4,49/4);
\end{tikzpicture}&\\
(1) Anzahl der Teilintervalle n festlegen 								&(1)$n=4$														\\
(2) Berechnen der Intervallbreite $h=\frac{b-a}{n}$				&(2)$h=\frac{4-0}{4}$								\\
(3) Festlegen der Werte $x_i$; Bestimmen der Funktionswerte $f(x_i)$ &(3)\begin{tabular}{c|c}$x_i$ &$f(x)$\\\hline $\frac{1}{2}$&$\frac{1}{4}$\\ $\frac{3}{2}$&$\frac{9}{4}$\\$\frac{5}{2}$&$\frac{25}{4}$\\$\frac{7}{2}$&$\frac{49}{4}$\\\end{tabular}\\
(4) $A\approx A_n=h\cdot f(x_1)+h\cdot f(x_2)+...+h\cdot f(x_n)$\\$=h\cdot(f(x_1)+f(x_2)+...+f(x_n)$\\$=\frac{b-a}{n}\cdot(f(x_1)+f(x_2)+...+f(x_n)$	&$A_n=1(\frac{1}{4}+\frac{9}{4}+\frac{25}{4}+\frac{49}{4})$\\&=21
\end{tabular} 

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