Exercice 2 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_g:=proc(f,a,b,N)
local i,S;
S:=0;
for i from 0 to N-1 do
S:=S+f(a+i*(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_g(fI,aI,bI,NI)); NiM+LUkjSV9HNiI2I0kpYXBwcm9jaHxkeUdGJiQiPzRTMi9aTVlHVCZwKWY8Ij4kISNI erreur:=evalf(abs(I_(approch\351)-Pi)); NiM+SSdlcnJldXJHNiIkIj0ib04oUiUpXEFOVk9MTGVcISNI Calcul approch\351 de J avec 20 Rectangles o\371 J=(Int(fJ(t),t=aJ..bJ))**2; NiMvSSJKRzYiKiQtSSRJbnRHNiRJKnByb3RlY3RlZEdGKkkoX3N5c2xpYkdGJTYkLUkkZXhwR0YpNiMsJCokSSJ0R0YlIiIjISIiL0YyOyEjNSIjNUYz J_(approch\351):=evalf((Rectangle_g(fJ,aJ,bJ,NJ))**2); NiM+LUkjSl9HNiI2I0kpYXBwcm9jaHxkeUdGJiQiP1AmKWY5ViJSamtOKmZFQ1VKISNI erreur:=evalf(abs(J_(approch\351)-Pi)); NiM+SSdlcnJldXJHNiIkIjs0LUVdIW8rSiZlTTErbCEjSA== Question c) Points_Rg:=proc(f,a,b,N)
local i,S;
S:=NULL;
for i from 1 to N do S:=S,[i/N,Rectangle_g(f,a,b,i)]; od;
[S];
end; NiM+SSpQb2ludHNfUmdHNiJmKjYmSSJmR0YlSSJhR0YlSSJiR0YlSSJOR0YlNiRJImlHRiVJIlNHRiVGJUYlQyU+OCVJJU5VTExHSSpwcm90ZWN0ZWRHRjM/KDgkIiIiRjY5J0kldHJ1ZUdGMz5GMTYkRjE3JComRjVGNkY3ISIiLUksUmVjdGFuZ2xlX2dHRiU2JjkkOSU5JkY1NyNGMUYlRiVGJQ== plot(Points_Rg(fI,aI,bI,50)); Trac\351 des points obtenus pour le calcul approch\351 de I 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 plot(Points_Rg(fJ,aJ,bJ,50)); Trac\351 des points obtenus pour le calcul approch\351 de J 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 Question d) Suite_Rg:=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*delta)],[a+i*delta,f(a+i*delta)]],color=red,thickness=2);
od;
S;
end: Trac\351 des rectangels correspondant \340 l'int\351grale I RgI:=Suite_Rg(fI,aI,bI,NI):GI:=plot(fI,aI..bI,color=black,thickness=3): plots[display](RgI,GI); 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 Trac\351 des rectangels correspondant \340 l'int\351grale J RgJ:=Suite_Rg(fJ,aJ,bJ,NJ):GJ:=plot(fJ,aJ..bJ,color=black,thickness=3): plots[display](RgJ,GJ); LSUlUExPVEc2OS0lKVBPTFlHT05TRzYlNyY3JCQhIzUiIiEkRixGLDckJCEiKkYsRi03JEYvJCI/J1EhZXBmSCdmJDMtd2YyP1AhI3Q3JEYqRjItJSZDT0xPUkc2JiUkUkdCRyQiIzUhIiIkRixGPEY9LSUqVEhJQ0tORVNTRzYjIiIjLUYmNiU3JkYuNyQkISIpRixGLTckRkYkIj9WcV9ELTJTTTJlKj54J1JtISNsNyRGL0ZJRjZGPi1GJjYlNyZGRTckJCEiKEYsRi03JEZRJCI/OU1xM3dIJnlqWzAqMyJRZyIhI2Q3JEZGRlRGNkY+LUYmNiU3JkZQNyQkISInRixGLTckRmZuJCI/JEdJMD08UFJZakxtJilHQyYhI143JEZRRmluRjZGPi1GJjYlNyZGZW43JCQhIiZGLEYtNyRGYW8kIj91NE9FNyQpUXBOQ0lHXz5CISNYNyRGZm5GZG9GNkY+LUYmNiU3JkZgbzckJCEiJUYsRi03JEZccCQiP2h1ajxtJWY/UydcJ1EleilRIiEjUzckRmFvRl9wRjZGPi1GJjYlNyZGW3A3JCQhIiRGLEYtNyRGZ3AkIj9nIXpeeDhYNmYjPlo8TkQ2ISNPNyRGXHBGanBGNkY+LUYmNiU3JkZmcDckJCEiI0YsRi03JEZicSQiP0kycE93XFwmem0zLyk0TTchI0w3JEZncEZlcUY2Rj4tRiY2JTcmRmFxNyQkRjxGLEYtNyRGXXIkIj9LRkAhPVBIIT1NKCkpKVFjSj0hI0o3JEZicUZfckY2Rj4tRiY2JTcmRlxyNyRGLUYtNyRGLSQiP2gseEJiZkBCV3I2V3p5TyEjSTckRl1yRmhyRjZGPi1GJjYlNyZGZnI3JCQiIiJGLEYtNyRGYHNGYHM3JEYtRmBzRjZGPi1GJjYlNyZGX3M3JCRGQUYsRi03JEZoc0ZocjckRmBzRmhyRjZGPi1GJjYlNyZGZ3M3JCQiIiRGLEYtNyRGX3RGX3I3JEZoc0ZfckY2Rj4tRiY2JTcmRl50NyQkIiIlRixGLTckRmd0RmVxNyRGX3RGZXFGNkY+LUYmNiU3JkZmdDckJCIiJkYsRi03JEZfdUZqcDckRmd0RmpwRjZGPi1GJjYlNyZGXnU3JCQiIidGLEYtNyRGZ3VGX3A3JEZfdUZfcEY2Rj4tRiY2JTcmRmZ1NyQkIiIoRixGLTckRl92RmRvNyRGZ3VGZG9GNkY+LUYmNiU3JkZedjckJCIiKUYsRi03JEZndkZpbjckRl92RmluRjZGPi1GJjYlNyZGZnY3JCQiIipGLEYtNyRGX3dGVDckRmd2RlRGNkY+LUYmNiU3JkZedzckJEY7RixGLTckRmd3Rkk3JEZfd0ZJRjZGPi0lJ0NVUlZFU0c2JTdfcDckRiokIjM3UDMtd2YyP1AhI2g3JCQhMyFwbW1tInAwayYqISM8JCIzZTIkSDBsInkiKT1GVjckJCEzdUtMJDM8WFo9KkZleCQiM2wzeSdSS2h0SSMhI2E3JCQhM1dtbW1UJXAiZSgpRmV4JCIzXyE9OUUlR1ZtW0ZbbzckJCEzL25tbSI0bShHJClGZXgkIjMlZUFaNzc4blooISNbNyQkITNPTEwkM2kuOSF6RmV4JCIzVTY/WTtRPCNwKEZmbzckJCEzZm1tOy9SPTB2RmV4JCIzWkUxKipwdXJXTSEjVTckJCEzdyoqKipcUDgjXDQoRmV4JCIzN2VnXCJ5K2RQIiEjUjckJCEzS21tOy9zaXFtRmV4JCIzSjo9VikpKTRDdCUhI1A3JCQhM0UrK10oeSRwWmlGZXgkIjNqLGpvKUh5bDYiISNNNyQkITNfTExMJHlhRSJlRmV4JCIzaSQpPXgnM2UzNyMhI0s3JCQhMzFubW0iPnMlSGFGZXgkIjMtIWVpLnIoR3Y6RmpyNyQkITNRKysrXSQqNCkqXEZleCQiM05ERmBSeVY6OSEjRzckJCEzbyoqKioqKlxfJlxjJUZleCQiMyNbNlEoXFx2MyopISNGNyQkITMlKSoqKioqKlwxYVpURmV4JCIzJVtZP1AuMUNRJCEjRDckJCEzdW1tOy8jKVtvUEZleCQiM0siZXEqKUdheHonISNDNyQkITNSTExMJD1leEokRmV4JCIzY21JMmkmZXdsIiEjQTckJCEzYUxMTEwyJGYkSEZleCQiM0h3emd3TDswPSEjQDckJCEzcG1tVCZvX1FyI0ZleCQiMzc3IlxiJ29GSWpGZF5sNyQkITMlKSoqKipcUFl4IlwjRmV4JCIzJz0iKSk+KG9tOCwjISM/NyQkITNFTCRla0cnWyRSI0ZleCQiMyNHKCoqZUZAMF5LRl9fbDckJCEzc21tVE56PiZII0ZleCQiMyNSdWc2Xl1VOiZGX19sNyQkITM7K11QJWU0cD4jRmV4JCIzY0p1KkdnSV8sKUZfX2w3JCQhMztMTExMN2kpNCNGZXgkIjMqNDUlZnRaZEE3ISM+NyQkITNlbW1UTmElSCk9RmV4JCIzNSllVE92bWEpR0ZkYGw3JCQhMysrK11QJ3BzbSJGZXgkIjNZIylbbz5lOzBpRmRgbDckJCEzLysrK3ZfKj1ZIkZleCQiMyFvYzRveD8qejYhIz03JCQhMzUrK103NF9jN0ZleCQiM29UeiVSeEpAMSNGZGFsNyQkITNTTCRlOWh4JFw2RmV4JCIzPSwlKnBfIipcb0VGZGFsNyQkITNxbW1UNVZCVTVGZXgkIjNtaENFbygpeXVMRmRhbDckJCEzLysrdiQ0NTROKkZkYWwkIjMvInAqSGVAOXJURmRhbDckJCEzNUxMTCQzeCV6IylGZGFsJCIzPW4wWE5iUlFdRmRhbDckJCEzU0xMZTlyYyZIKEZkYWwkIjNbZlxUI1EuRyhlRmRhbDckJCEzcUxMJGU5ZDtKJ0ZkYWwkIjMkM3EkWzxYODluRmRhbDckJCEzIUhMJDN4cnVGYEZkYWwkIjNDc19va1IhKUd2RmRhbDckJCEzP0xMTDNzJFFNJUZkYWwkIjNBTT82KDNRL0cpRmRhbDckJCEzd21tVCZRZERHJEZkYWwkIjNnNCF5VClRXXkqKUZkYWw3JCQhMy4rK11pdkZAQUZkYWwkIjMiZicpem5RbiY9JipGZGFsNyQkITNJTExlUngqKmY2RmRhbCQiMytMKFwrelRqJykqRmRhbDckJCEzKWVtbW1tInpyKSpGX19sJCIzJ0czd1pfRCEqKioqRmRhbDckJCIzPUwkM19dXChvPEZkYGwkIjN5SFhdOT8obyoqKkZkYWw3JCQiM1hMTDN4InlZXyVGZGBsJCIzS016cEgjWyZ6KipGZGFsNyQkIjNRTCRlKltvZyFHKEZkYGwkIjNVOk1PL0k4WioqRmRhbDckJCIzU0xMM19ObC41RmRhbCQiM2VQK3QtT3gqKikqRmRhbDckJCIzRUwkZWtHUltiIkZkYWwkIjN1I1sybUdZNncqRmRhbDckJCIzUExMJDMtRGc1I0ZkYWwkIjNtI1tQVDtlaGMqRmRhbDckJCIzTUxMZSpbJ1IzS0ZkYWwkIjNqLzMuWSRHPS0qRmRhbDckJCIzZkxMTGV6dzVWRmRhbCQiMyQ0Q0FUdnFUSSlGZGFsNyQkIjNjKioqKlxpYlFxX0ZkYWwkIjMjUmhnbiNIcnV2RmRhbDckJCIzbG1tbW1KK0lpRmRhbCQiMyNbRT4ybVhLeSdGZGFsNyQkIjN1TEwkM3g/Jyo9KEZkYWwkIjNVTlVSUWNpamZGZGFsNyQkIjNxKioqKipcUFEjXCIpRmRhbCQiM20ocF0yUmh0OSZGZGFsNyQkIjMnSEwkM3g7bCY9KkZkYWwkIjMkW1F3ZSRcKjNJJUZkYWw3JCQiM3RtbSJ6XDFBLSJGZXgkIjN2JylIOWkkW3NeJEZkYWw3JCQiMyYqKipcN0d5JWU3IkZleCQiM2xMJEc9Jj5EOkdGZGFsNyQkIjNSTExMZSIqW0g3RmV4JCIzPUkiZWshPlowQUZkYWw3JCQiM25tbTtIQ2pWOUZleCQiMyo+dlRSM0FVQyJGZGFsNyQkIjMnKioqKioqKipwdnhsIkZleCQiM2cmUUdZbnRUUydGZGBsNyQkIjMlKioqKipcN0pGbj1GZXgkIjMtTChwcCc+OWdJRmRgbDckJCIzOSsrK0QweHc/RmV4JCIzU0YxckZMT1I4RmRgbDckJCIzIykqKlxQJUc/InlARmV4JCIzdyNRTmVYXj5xKUZfX2w3JCQiMycqKioqXFAvcSV6QUZleCQiM1xUVSIpZl93UWJGX19sNyQkIjMzK103Lik+M1EjRmV4JCIzYSoqKlJiXEBQWCRGX19sNyQkIjM/KytdaSZwQFsjRmV4JCIzUVpiZnVCejRARl9fbDckJCIzNSsrdj1HQjJGRmV4JCIzYVYkR103dzpjJ0ZkXmw3JCQiMysrKyt2Z0hLSEZleCQiM18xaElbI3pTJT1GZF5sNyQkIjNmbW1tbVp2T0xGZXgkIjMhcD5iWCVIIjNZIkZeXmw3JCQiMzErKytdMmdvUEZleCQiM18xYyNvVCEqPnonRmhdbDckJCIzS0xMJGVSPCpmVEZleCQiMzM6RXJlNiI+MCRGYl1sNyQkIjNtKioqKioqXClIeGUlRmV4JCIzcTRWKikqPjJEQihGXF1sNyQkIjN5bW07SCFvLSpcRmV4JCIzOSM+KnlWPWdJOkZmXGw3JCQiM24qKioqXDdrLjZhRmV4JCIzZiVweGxPeVAjPkZqcjckJCIzcW1tbTtXVEFlRmV4JCIzdVpiRGhtPiQqPUZbXGw3JCQiMycqKioqKlxpISozYGlGZXgkIjMuWEluQ1J2VjVGZVtsNyQkIjNTTExMTCp6eW0nRmV4JCIzIyopKXlyJz5WITRcRl9bbDckJCIzP0xMTDNOMSM0KEZleCQiM1dIRWkrTGlLOUZpejckJCIzTm1tO0hZdDd2RmV4JCIzOWtbZFBJVnZJRmN6NyQkIjNNKysrK3hHKip5RmV4JCIzb3daeSVwJHBgekZmbzckJCIzMG1tbVQ2S1UkKUZleCQiM3NwJUh1MVdXJ2ZGaHk3JCQiMyNSTExMYHYmUSgpRmV4JCIzM1JBekBvWGNvRltvNyQkIjNbKytdaWAxaCIqRmV4JCIzO0IneUUkKVJGYyRGXXk3JCQiM1crK11QP1dsJipGZXgkIjNHZzhHJ1t2RCQ9RlY3JEZnd0ZfeC1GNzYmRjlGPUY9Rj0tRj82I0ZgdC0lK0FYRVNMQUJFTFNHNiRRITYiRmBjbS0lJVZJRVdHNiQ7JCEkKyJGPEZndzskRmNxRmNxJCIkLSJGY3E= Une petite animation Anim_Rg:=proc(t) plots[display](GI,Suite_Rg(fI,aI,bI,trunc(t))); end: animate(Anim_Rg,[t],t=1..NI, frames=50); 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