2019-2020/TES/Integration/Aire_courbe/3E_integrales.tex

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\documentclass[a4paper,10pt]{article}
\usepackage{myXsim}
\title{Comparaison - Exercices}
\tribe{Terminale TESL}
\date{Janvier 2020}
\pagestyle{empty}
\geometry{left=10mm,right=10mm, top=10mm}
\renewcommand{\baselinestretch}{0.8}
\begin{document}
\setlength{\columnseprule}{0pt}
\begin{exercise}[subtitle={Intégrale et aire}]
Calculer les quantités suivantes
\begin{multicols}{4}
\begin{enumerate}
\item
$\displaystyle
\int_2^5 3 dx
$
\hspace{-1cm}
\begin{tikzpicture}[yscale=.4, xscale=0.8]
\tkzInit[xmin=0,xmax=5,xstep=1,
ymin=0,ymax=4,ystep=1]
\tkzGrid
\tkzGrid[sub, subxstep=0.5, subystep=1]
\tkzAxeXY[up space=0.5,right space=.2]
\tkzFct[domain = 0:5, line width=1pt]{3}
\end{tikzpicture}
\item
$\displaystyle
\int_{2}^{5} x dx
$
\hspace{-1cm}
\begin{tikzpicture}[yscale=.4, xscale=0.8]
\tkzInit[xmin=0,xmax=5,xstep=1,
ymin=0,ymax=5,ystep=1]
\tkzGrid
\tkzGrid[sub, subxstep=0.5, subystep=1]
\tkzAxeXY[up space=0.5,right space=.2]
\tkzFct[domain = 0:5, line width=1pt]{x}
\end{tikzpicture}
\item
$\displaystyle
\int_0^2 2x dx
$
\hspace{-1cm}
\begin{tikzpicture}[yscale=.4, xscale=0.8]
\tkzInit[xmin=-2,xmax=3,xstep=1,
ymin=-6,ymax=6,ystep=2]
\tkzGrid
%\tkzGrid[sub, subxstep=0.5, subystep=1]
\tkzAxeXY[up space=0.5,right space=.2]
\tkzFct[domain = -2:3, line width=1pt]{2*x}
\end{tikzpicture}
\item
$\displaystyle
\int_{0}^{2} 0.5 dx
$
\hspace{-1cm}
\begin{tikzpicture}[yscale=.6, xscale=0.8]
\tkzInit[xmin=-2,xmax=3,xstep=1,
ymin=-2,ymax=2,ystep=1]
\tkzGrid
\tkzGrid[sub, subxstep=0.5, subystep=1]
\tkzAxeXY[up space=0.5,right space=.2]
\tkzFct[domain = -2:3, line width=1pt]{0.5}
%\tkzFct[domain = 0:5, line width=1pt]{0.5}
\end{tikzpicture}
\end{enumerate}
\end{multicols}
\begin{multicols}{4}
\begin{enumerate}
\setcounter{enumi}{4}
\item $\displaystyle \int_{0}^{2} 4 dx$
\item $\displaystyle \int_{-100}^{100} 5 dx$
\item $\displaystyle \int_{5}^{10} 2x dx$
\item $\displaystyle \int_{5}^{10} 5x dx$
\end{enumerate}
\end{multicols}
\begin{enumerate}
\setcounter{enumi}{8}
\item Comment peut-on calculer la quantité $\displaystyle \int_{a}^{b} f(x) dx$? Quand
\begin{multicols}{2}
\begin{enumerate}
\item $f$ est une fonction constante.
\item $f$ est une fonction linéaire.
\end{enumerate}
\end{multicols}
\end{enumerate}
\end{exercise}
\printexercise{exercise}{1}
\printexercise{exercise}{1}
\end{document}