<Text-field layout="Heading 1" style="Heading 1">Uebung 6</Text-field>
<Text-field layout="Heading 2" style="Heading 2">Aufgabe 1</Text-field>
<Text-field layout="Heading 3" style="Heading 3">a)</Text-field>restart:int(int(x**2*y**2,y=0..b),x=0..a);NiMsJComSSJiRzYiIiIkSSJhR0YmRicjIiIiIiIq
<Text-field layout="Heading 3" style="Heading 3">b)</Text-field>restart:int(int(x**2*sqrt(y),y=1..3),x=1..5);NiMsJiMhJFsjIiIqIiIiKiQiIiQjRiciIiMjIiRbI0Yp
<Text-field layout="Heading 3" style="Heading 3">c)</Text-field>restart:int(int(sin(u)*cos(v),u=0..Pi),v=-(Pi/2)..Pi/2);NiMiIiU=
<Text-field layout="Heading 3" style="Heading 3">d)</Text-field>restart:int(int(p**2*sqrt(1+v),v=0..3),p=-2..2);NiMjIiRDIyIiKg==
<Text-field layout="Heading 2" style="Heading 2">Aufgabe 2</Text-field>
<Text-field layout="Heading 3" style="Heading 3">a)</Text-field>restart:int(int((x/y),y=0.5*x..5*x),x=0.5..exp(1));NiMkIit3Pzk+IykhIio=
<Text-field layout="Heading 3" style="Heading 3">b)</Text-field>restart:int(int(2*s+3*t,s=sqrt(t)..sqrt(7*t)),t=0..5);NiMsKCIjdiIiIiokIiNOI0YlIiIjIiNJKiQiIiZGKCEjSQ==
<Text-field layout="Heading 2" style="Heading 2">Aufgabe 3</Text-field>
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<Text-field layout="Heading 3" style="Heading 3">b)</Text-field>restart;f:=(x)->exp(x)-1;NiM+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYtSSRleHBHRiU2IzkkIiIiISIiRjFGJUYlRiU=g:=(x)->5-5*x**2;NiM+SSJnRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYiIiYiIiIqJDkkIiIjISImRiVGJUYlplot({f(x),g(x)},x=-1..2);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int(int(1,y=f(x)..g(x)),x=0..0.8544);NiMkIitLcCJwdCMhIio=
<Text-field layout="Heading 2" style="Heading 2">Aufgabe 4</Text-field>restart;f:=(x)->6*x-3*x**2;NiM+SSJmRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCY5JCIiJyokRi0iIiMhIiRGJUYlRiU=R:=(x,y)->sqrt(x**2+y**2);NiM+SSJSRzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEdGJTYjLCYqJDkkIiIjIiIiKiQ5JUYzRjRGJUYlRiU=plot(f(x),x=0..2);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
<Text-field layout="Heading 3" style="Heading 3">a)</Text-field>f1:=D(f);NiM+SSNmMUc2ImYqNiNJInhHRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSwmIiInIiIiOSQhIidGJUYlRiU=x:=solve(f1(x)=0,x);NiM+SSJ4RzYiIiIiy:=f(x);NiM+SSJ5RzYiIiIkalpha_radiant:=evalf(arctan(y/x));NiM+SS5hbHBoYV9yYWRpYW50RzYiJCIrc2QvXDchIio=alpha_degrees:=evalf(180*alpha_radiant/Pi);NiM+SS5hbHBoYV9kZWdyZWVzRzYiJCIrOl5dY3IhIik=r:=sqrt(x**2+y**2);NiM+SSJyRzYiKiQiIzUjIiIiIiIj
<Text-field layout="Heading 3" style="Heading 3">b)</Text-field>g := (phi) -> R(x,f(x));NiM+SSJnRzYiZio2I0kkcGhpR0YlRiU2JEkpb3BlcmF0b3JHRiVJJmFycm93R0YlRiUtSSJSR0YlNiRJInhHRiUtSSJmR0YlNiNGL0YlRiVGJQ==g(phi);NiMqJCIjNSMiIiIiIiM=x:=r*cos(phi);NiM+SSJ4RzYiKiYiIzUjIiIiIiIjLUkkY29zRzYkSSpwcm90ZWN0ZWRHRi5JKF9zeXNsaWJHRiU2I0kkcGhpR0YlRik=g(phi);NiMqJCwmKiQtSSRjb3NHNiRJKnByb3RlY3RlZEdGKUkoX3N5c2xpYkc2IjYjSSRwaGlHRisiIiMiIzUqJCwmKiZGLyMiIiJGLkYmRjQiIidGJSEjSUYuRjRGMw==factor(%);NiMqJiIjNSMiIiIiIiMqJi1JJGNvc0c2JEkqcHJvdGVjdGVkR0YsSShfc3lzbGliRzYiNiNJJHBoaUdGLkYnLCgiI1BGJiomRiRGJUYpRiYhI08qJEYpRiciIyEqRiZGJQ==
<Text-field layout="Heading 2" style="Heading 2">Aufgabe 5</Text-field>
<Text-field layout="Heading 3" style="Heading 3">a)</Text-field>restart;r := (t) -> sqrt(t);NiM+SSJyRzYiZio2I0kidEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLUklc3FydEdGJTYjOSRGJUYlRiU=plot ( [r(t)*cos(t), r(t)*sin(t), t = 0..4*Pi] , numpoints=500 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(plots):Warning, the name changecoords has been redefined 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<Text-field layout="Heading 2" style="Heading 2">Aufgabe 6</Text-field>restart;g:=(x)->1/(10*x)+0.1*x;NiM+SSJnRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlLCYqJDkkISIiIyIiIiIjNSomJEYxRi9GMUYuRjFGMUYlRiVGJQ==h:=(x)->sin(x)*exp(-0.1*x);NiM+SSJoRzYiZio2I0kieEdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiYtSSRzaW5HRiU2IzkkIiIiLUkkZXhwR0YlNiMsJComJEYxISIiRjFGMEYxRjhGMUYlRiVGJQ==plot({g(x),h(x)},x=0..4,y=-1..4);LSUlUExPVEc2Ji0lJ0NVUlZFU0c2JTdTNyQkIiIhRitGKjckJCIzSG1tbW07Jyk9KCkhIz4kIjMpM01iVC1GQWopRi83JCQiM1JMTExlJzQwaiIhIz0kIjMvJFEyLUBUcWYiRjU3JCQiM25tbW07Nm0kWyNGNSQiM1lqUGUtUSF6UiNGNTckJCIzZm1tbTt5WVVMRjUkIjNTTEtSX3R0c0pGNTckJCIzJUhMTCRlRj4oPiVGNSQiMy0mKltKbU1hMlJGNTckJCIzUm1tbSI+SycqKVxGNSQiMyhvP2lJVV5BYiVGNTckJCIzUCoqKioqXEtkLCJlRjUkIjMqekAibztqIip5XkY1NyQkIjMtbW1tImZYKGVtRjUkIjNKLzElNDJEJnpkRjU3JCQiMy4qKioqKlxVN1ldKEY1JCIzQHZwNTJ4cEVqRjU3JCQiMyZRTExMViFwdSQpRjUkIjNiZUQ5WG1sS29GNTckJCIzeG1tbTtjMFQiKkY1JCIzYSkqKjRlKWVHR3NGNTckJCIzIyoqKioqKipILFErNSEjPCQiM0siNCsoKm83YmgoRjU3JCQiMygqKioqKioqXCozcTMiRmJvJCIzIip6Ymx3eGVTekY1NyQkIjMpKioqKioqKnA9XHE2RmJvJCIzT1lDUiQ9a0A+KUY1NyQkIjNsbW07ZkJJWTdGYm8kIjMnKnoyQDdtXW4kKUY1NyQkIjNHTExMaiRba0wiRmJvJCIzV1tsSHc7Jyk0JilGNTckJCIzP0xMTGBRIkdUIkZibyQiM2ImSFw+YENWZClGNTckJCIzISoqKioqXHNdayw6RmJvJCIzPFhSc2NrNCZlKUY1NyQkIjM5TExMYGRGIWUiRmJvJCIzMSozcDx2eXlgKUY1NyQkIjMzKytdc2dhbTtGYm8kIjNodiM+JD1kOUUlKUY1NyQkIjMuKytdPGVwWzxGYm8kIjMmKT5EIkc4aEpFKUY1NyQkIjNRTExMZS9UTT1GYm8kIjMrWlhcKnlfay4pRjU3JCQiM0pMTCRlREJKIj5GYm8kIjNVPzVxODphenhGNTckJCIza21tbVRjLSkqPkZibyQiM1JVd11jOClHWChGNTckJCIzTW1tO2ZgQCczI0ZibyQiMyQzVl9KJTNeaXFGNTckJCIzeioqKipcblopSDsjRmJvJCIzPF5zMi40TyRvJ0Y1NyQkIjNZbW1tSnkqZUMjRmJvJCIzNUUkUTx0QWhCJ0Y1NyQkIjMnKSoqKioqKlJeYkpCRmJvJCIzNUFmUjElem50JkY1NyQkIjNmKioqKipcNWFgVCNGYm8kIjMhUVwqelBBbzpfRjU3JCQiM28qKioqXDdSVidcI0ZibyQiM0soXEUhUWp6JW8lRjU3JCQiM2wqKioqKlxAZmtlI0ZibyQiMyI9UiV6P2NRcFNGNTckJCIzMExMTGA0Tm5FRmJvJCIzP1dLUSZRenVcJEY1NyQkIjMjKioqKioqKlwsc2BGRmJvJCIzMWw0aFBQeXJHRjU3JCQiM1ttbTt6TSk+JEdGYm8kIjM7WyhRYTU8YUgjRjU3JCQiMyQqKioqKioqcGZhPEhGYm8kIjNSKmZnTCVcYmY7RjU3JCQiMyNITExlZ2AhKSpIRmJvJCIzaGQjXHonPiMqZjVGNTckJCIzdyoqKipcI0cyQTMkRmJvJCIzSTlmS2tXemdWRi83JCQiMztMTEwkKUdba0pGYm8kITMpUTBQWkBTem0iRi83JCQiMyMpKioqKlw3eWhdS0ZibyQhM1NZVClIJFFHaHlGLzckJCIzeG1tbScpZmRMTEZibyQhM250cSMzdF9yTyJGNTckJCIzYm1tbSxGVD1NRmJvJCEzYiI+P1BsdzslPkY1NyQkIjNGTEwkZSNwYS1ORmJvJCEzKSllaTFFSzQpWyNGNTckJCIzKikqKioqKipSdiYpek5GYm8kITNuKSpbXUQ6cG1IRjU3JCQiM0hMTExHVVlvT0ZibyQhM3FNTClIPSxVWyRGNTckJCIzX21tbTFeclpQRmJvJCEzIil5OiZlQXlpIlJGNTckJCIzNCsrXXNJQEtRRmJvJCEzdzdqO1JKSFVWRjU3JCQiMzQrK10yJSkzOFJGYm8kITNjaz5gTEFLOVpGNTckJCIiJUYrJCEzQ3JwJVwkKSkqSDImRjU3Z3A3JCQiMyIpKioqKioqcFVrQ0YhIz8kIjNLNiJccDhKLW4kISM7NyQkIjNpKioqKioqUiYpR1xhRl1bbCQiMyZlZ1EiUWs6Tj1GYFtsNyQkIjNXKioqKioqNEckUjwpRl1bbCQiM11xTjtPSVtCN0ZgW2w3JCQiMyQqKioqKip6cWQpKjMiRi8kIjN2RlMoUmUqZnciKkZibzckJCIzMisrK05AS2k4Ri8kIjNJQHk5Lix4VHRGYm83JCQiMyopKioqKio+Yyd5TTtGLyQiMzBfJFIyRlQnPWhGYm83JCQiMygpKioqKioqKSk0RDI+Ri8kIjNhZiIpKmZtYl1DJkZibzckJCIzJikqKioqKmZUOih6QEYvJCIzVjkhXCZ5WCQqKmUlRmJvNyQkIjMlKSoqKioqSCUpekBYI0YvJCIzJD0hemktbFghMyVGYm83JCQiMzsrKytxVWtDRkYvJCIzITRUd1pgR0huJEZibzckJCIzOysrKyhwM3IqSEYvJCIzemtrMStoYVJMRmJvNyQkIjN4KioqKipSN3QmcEtGLyQiMyhmbjdfIkd4aElGYm83JCQiM3YqKioqKjRiUD9hJEYvJCIzIikzIXolKnp2biNHRmJvNyQkIjN1KioqKip6KD5dOVFGLyQiM1R6RFs0KClRREVGYm83JCQiMyIpKioqKipmU21wMyVGLyQiM3JjI3klZiYqKTNYI0ZibzckJCIzeSoqKioqSCQzVmZWRi8kIjNjPkwoPSdvQilII0ZibzckJCIzeCoqKioqKmZfKj1qJUYvJCIzIXptKHpmYGRqQEZibzckJCIzbSoqKioqZm9mViFcRi8kIjMkM1h5NV8xUi8jRmJvNyQkIjMiKSoqKioqXDZDbzwmRi8kIjN3JykqSDozam8kPkZibzckJCIzSysrK1MmKUdcYUYvJCIzSDBLekw3YlM9RmJvNyQkIjMnKSoqKioqKnBIdkBkRi8kIjMmSC4hUiEqeVZgPEZibzckJCIzbyoqKioqXFI8VSpmRi8kIjNVPTkhR3JvVW4iRmJvNyQkIjM9KysrPz1vbWlGLyQiMyh5JVIuL3YrLTtGYm83JCQiM3MqKioqKipcaTlSbEYvJCIzKGZoRW93IXpOOkZibzckJCIzaysrKyFvNTsib0YvJCIzWktcIWU7JCpbWiJGYm83JCQiM3cqKioqKlw1dlMzKEYvJCIzeTA3WmI0cT05RmJvNyQkIjNGKysrSSZSbE4oRi8kIjNlYW9nODhwbThGYm83JCQiMyIpKioqKioqZlIrSHdGLyQiM1ZDXS0yaFQ9OEZibzckJCIzJykqKioqKlwiRyRSPClGLyQiMyJcNi0qR19kSjdGYm83JCQiM2QqKioqKmZtaCk9KClGLyQiMyIqZmg9eHZsYjZGYm83JCQiM1crKytdOCskPipGLyQiM1VYZkFEcShwNCJGYm83JCQiMy8rKytONTluJypGLyQiMyNIUC11OCo0VzVGYm83JCQiMycqKioqKio+MkdULCJGNSQiM0BwPUYvLjVpKipGNTckJCIzLSsrK1M/YWg1RjUkIjN0JSllQy5CVEUmKkY1NyQkIjMrKysrdypwajoiRjUkIjNjJlskUkgkKVFqKClGNTckJCIzKCoqKioqKj4iej5eN0Y1JCIzJFFySVhcZ3U2KUY1NyQkIjMzKysrW2UtWThGNSQiMytBQ1BALylRYyhGNTckJCIzKioqKioqKlx5YDNXIkY1JCIzSGYpPSNlW1QlMyhGNTckJCIzIioqKioqKj5zIm9OOkY1JCIzIUgiKnprOk1gbSdGNTckJCIzLisrK2UnNDBqIkY1JCIzaXNZW1pFNSdIJ0Y1NyQkIjMwKysrQnZ6Vj1GNSQiM1FtNiU9eG96ZyZGNTckJCIzMisrKylRJjNkP0Y1JCIzQmphZmJhJnAxJkY1NyQkIjMsKysrX0tQcUFGNSQiM19mK2lNJSpmSllGNTckJCIzLisrKzw2bSRbI0Y1JCIzI0dgI0gtLm91VUY1NyQkIjMqKioqKioqcFlrSSJIRjUkIjNpQlUpUWA8VHMkRjU3JCQiMyYqKioqKipwInlZVUxGNSQiM3RCbkk4I1tnSyRGNTckJCIzNCsrKylHSSlwUEY1JCIzMSVIIzROQmlISUY1NyQkIjM5KysrZUY+KD4lRjUkIjN2XWA8R1RFLUdGNTckJCIzQSsrKyI+SycqKVxGNSQiMztWYCkpZio9Sl0jRjU3JCQiM1srKytEdDo1ZUY1JCIzQlErQ0ImUkBJI0Y1NyQkIjNUKysrImZYKGVtRjUkIjNiQl5CQCpldzsjRjU3JCQiMzkrKytEQ2gvdkY1JCIzPkcuOSQ0dkgzI0Y1NyQkIjNcKysrTC9wdSQpRjUkIjNNLC8oMy5WOi4jRjU3JCQiMzArKys7YzBUIip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<Text-field layout="Heading 3" style="Heading 3">a)</Text-field>Int(Int(1,y=g(x)..h(x)),x=x_unten..x_oben);NiMtSSRJbnRHNiRJKnByb3RlY3RlZEdGJkkoX3N5c2xpYkc2IjYkLUYkNiQiIiIvSSJ5R0YoOywmKiRJInhHRighIiIjRiwiIzVGMiRGLEYzKiYtSSRzaW5HRiU2I0YyRiwtSSRleHBHRiU2IywkRjIkRjNGM0YsL0YyOyQiK1MmZWBWJCEjNSQiK2Zib0JGISIqevalf(int(int(1,y=g(x)..h(x)),x=x_unten..x_oben),5);NiMkIiYmPjUhIiU=
<Text-field layout="Heading 3" style="Heading 3">b)</Text-field>f:=(x,y)->1/(x**2+y**2);NiM+SSJmRzYiZio2JEkieEdGJUkieUdGJUYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiQsJiokOSQiIiMiIiIqJDklRjFGMiEiIkYlRiVGJQ==evalf(int(int(f(x,y),y=g(x)..h(x)),x=x_unten..x_oben),5);NiMkIiZJSichIiY=evalf(int(int(int(1,z=0..f(x,y)),y=g(x)..h(x)),x=x_unten..x_oben),5);NiMkIiZJSichIiY=