Exercice 4 restart:Digits:=30:with(plots):with(plottools): fI:=t->4/(1+t^2):aI:=0:bI:=1:NI:=20: fJ:=t->exp(-t*t):aJ:=-10:bJ:=10:NJ:=20: Question a) Rectangle_m:=proc(f,a,b,N)
local i,S;
S:=0;
for i from 0 to N-1 do
S:=S+f(a+(i+1/2)*(b-a)/N);
od;
S:=S*(b-a)/N;
end: Question b) Calcul approch\351 de I avec 20 Rectangles o\371 I=Int(fI(t),t=aI..bI); NiMvXiMiIiItSSRJbnRHNiRJKnByb3RlY3RlZEdGKUkoX3N5c2xpYkc2IjYkLCQqJCwmRiVGJSokSSJ0R0YrIiIjRiUhIiIiIiUvRjE7IiIhRiU= I_(approch\351):=evalf(Rectangle_m(fI,aI,bI,NI)); NiM+LUkjSV9HNiI2I0kpYXBwcm9jaHxkeUdGJiQiP1cwNUVvPlwkNCQqbyk0IT05JCEjSA== erreur:=evalf(abs(I_(approch\351)-Pi)); NiM+SSdlcnJldXJHNiIkIjs7QXdoME5EK0xJTCQzIyEjSA== Calcul approch\351 de J avec 20 Rectangles o\371 J=(Int(fJ(t),t=aJ..bJ))**2; NiMvSSJKRzYiKiQtSSRJbnRHNiRJKnByb3RlY3RlZEdGKkkoX3N5c2xpYkdGJTYkLUkkZXhwR0YpNiMsJCokSSJ0R0YlIiIjISIiL0YyOyEjNSIjNUYz J_(approch\351):=evalf((Rectangle_m(fJ,aJ,bJ,NJ))**2); NiM+LUkjSl9HNiI2I0kpYXBwcm9jaHxkeUdGJiQiP3d0JWZ6aTQ2RSJbOUYlNDkkISNI erreur:=evalf(abs(J_(approch\351)-Pi)); NiM+SSdlcnJldXJHNiIkIjtfNFJvTSlHQGAzIlIqXCchI0g= Question c) Points_Rm:=proc(f,a,b,N)
local i,S;
S:=NULL;
for i from 1 to N do S:=S,[i/N,Rectangle_m(f,a,b,i)]; od;
[S];
end; NiM+SSpQb2ludHNfUm1HNiJmKjYmSSJmR0YlSSJhR0YlSSJiR0YlSSJOR0YlNiRJImlHRiVJIlNHRiVGJUYlQyU+OCVJJU5VTExHSSpwcm90ZWN0ZWRHRjM/KDgkIiIiRjY5J0kldHJ1ZUdGMz5GMTYkRjE3JComRjVGNkY3ISIiLUksUmVjdGFuZ2xlX21HRiU2JjkkOSU5JkY1NyNGMUYlRiVGJQ== plot(Points_Rm(fI,aI,bI,50)); Trac\351 des points obtenus pour le calcul approch\351 de I LSUlUExPVEc2JS0lJ0NVUlZFU0c2JDdUNyQkIjMvKysrKysrKz8hIz4kIjM7KysrKysrK0shIzw3JCQiMzUrKysrKysrU0YsJCIzT3FrPFRITmlKRi83JCQiM3kqKioqKioqKioqKioqKmZGLCQiMzkuYycpNCNcMzokRi83JCQiMz0rKysrKysrISlGLCQiM3FVUlI9MCFvOSRGLzckJCIzLysrKysrKys1ISM9JCIzdUZMK2tlI1w5JEYvNyQkIjMlKioqKioqKioqKioqKio+IkZCJCIzS1FDQUZ1IVI5JEYvNyQkIjM5KysrKysrKzlGQiQiM0BvdV88TEhWSkYvNyQkIjMtKysrKysrKztGQiQiM1opbyJmSFoqRzkkRi83JCQiMyMqKioqKioqKioqKioqKnoiRkIkIjM7OHdiYzlpVUpGLzckJCIzNSsrKysrKys/RkIkIjMjeTQsXSlmVVVKRi83JCQiMy0rKysrKysrQUZCJCIzPiwhUnhOIkdVSkYvNyQkIjMhKioqKioqKioqKioqKipSI0ZCJCIzMyh6XG1OckA5JEYvNyQkIjMzKysrKysrK0VGQiQiM1NDJlEpXGQzVUpGLzckJCIzRSsrKysrKytHRkIkIjNAWURTQnksVUpGLzckJCIzKSkqKioqKioqKioqKioqKkhGQiQiMzc+OXpCSSc+OSRGLzckJCIzMSsrKysrKytLRkIkIjNlZiYzVjw9PjkkRi83JCQiM0MrKysrKysrTUZCJCIzSkxYOS81KT05JEYvNyQkIjMnKSoqKioqKioqKioqKipmJEZCJCIzVnIkel4mKVw9OSRGLzckJCIzLSsrKysrKytRRkIkIjMweXUhUVxCPTkkRi83JCQiM0ErKysrKysrU0ZCJCIzUyQ0JCpvKTQhPTkkRi83JCQiMyUpKioqKioqKioqKioqKj4lRkIkIjNlZz8vPTt5VEpGLzckJCIzLSsrKysrKytXRkIkIjMlKXo4KSlIW3dUSkYvNyQkIjM9KysrKysrK1lGQiQiM04nXDJOPV08OSRGLzckJCIzIykqKioqKioqKioqKioqeiVGQiQiM1ZoY11IdHRUSkYvNyQkIjMrKysrKysrK11GQiQiM2lgXyJwKWZzVEpGLzckJCIzOysrKysrKytfRkIkIjMlb0lYeCNmclRKRi83JCQiM00rKysrKysrYUZCJCIzIipRdlVscHFUSkYvNyQkIjNhKysrKysrK2NGQiQiMzQ2RzVZKilwVEpGLzckJCIzZyoqKioqKioqKioqKip6JkZCJCIzJkhTdD51InBUSkYvNyQkIjN3KioqKioqKioqKioqKipmRkIkIjNKXCh6aEMmb1RKRi83JCQiMyUqKioqKioqKioqKioqKj4nRkIkIjMhMyNbIilvJHo7OSRGLzckJCIzOSsrKysrKytrRkIkIjMuT2p6TFNuVEpGLzckJCIzSSsrKysrKyttRkIkIjNKK0BSdyJwOzkkRi83JCQiM1srKysrKysrb0ZCJCIzIT45Wjd1azs5JEYvNyQkIjNhKioqKioqKioqKioqKipwRkIkIjNkSycqeiFvZzs5JEYvNyQkIjN1KioqKioqKioqKioqKj4oRkIkIjNtSy8rYXBsVEpGLzckJCIzISoqKioqKioqKioqKioqUihGQiQiMz1QOkZETmxUSkYvNyQkIjMzKysrKysrK3dGQiQiM1ohemBPT107OSRGLzckJCIzRSsrKysrKyt5RkIkIjN6dGI1VXVrVEpGLzckJCIzVSsrKysrKyshKUZCJCIzK2RFI3B0Vzs5JEYvNyQkIjNdKioqKioqKioqKioqKj4pRkIkIjMmbyZlREZBa1RKRi83JCQiM28qKioqKioqKioqKioqUilGQiQiM2M3IjNaKilSOzkkRi83JCQiMycpKioqKioqKioqKioqKmYpRkIkIjMqZVAnKkhzUDs5JEYvNyQkIjMtKysrKysrKykpRkIkIjNeam1tKHBOOzkkRi83JCQiM0ErKysrKysrISpGQiQiM11PSCZlIVFqVEpGLzckJCIzUysrKysrKysjKkZCJCIzMGlBMk8/alRKRi83JCQiM1kqKioqKioqKioqKioqUipGQiQiM0xiLDB5LmpUSkYvNyQkIjNrKioqKioqKioqKioqKmYqRkIkIjN2PDZkQSlHOzkkRi83JCQiMyMpKioqKioqKioqKioqKnoqRkIkIjMlKTQuTmh0aVRKRi83JCQiIiIiIiEkIjNALkkjcClmaVRKRi8tJSZDT0xPUkc2JiUkUkdCRyQiIzUhIiIkRl5bbEZnW2xGaFtsLSUrQVhFU0xBQkVMU0c2JFEhNiJGXFxsLSUlVklFV0c2JDskIjE2KysrKysrU0YsJCImJz41ISIlOyQiMWo5bTEmZS85JCEjOiQiMidSOkUhW242PyQhIzs= plot(Points_Rm(fJ,aJ,bJ,50)); Trac\351 des points obtenus pour le calcul approch\351 de J 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 Question d) Suite_Rm:=proc(f,a,b,N)
local i,S,suite,delta;
delta:=(b-a)/N;S:=NULL;
for i from 0 to N-1 do
S:=S,polygon([[a+i*delta,0],[a+(i+1)*delta,0],[a+(i+1)*delta,f(a+(i+1/2)*delta)],[a+i*delta,f(a+(i+1/2)*delta)]],color=green,thickness=2);
od;
S;
end: Trac\351 des rectangels correspondant \340 l'int\351grale I RmI:=Suite_Rm(fI,aI,bI,NI):GI:=plot(fI,aI..bI,color=black,thickness=3): plots[display](RmI,GI); 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 Trac\351 des rectangels correspondant \340 l'int\351grale J RmJ:=Suite_Rm(fJ,aJ,bJ,NJ):GJ:=plot(fJ,aJ..bJ,color=black,thickness=3): plots[display](RmJ,GJ); 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 Une petite animation Anim_Rm:=proc(t) plots[display](GI,Suite_Rm(fI,aI,bI,trunc(t))); end: animate(Anim_Rm,[t],t=1..NI, frames=50); 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