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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="f := proc (x) options operator, arrow; cos(x)/(13-12*cos(2*x)) end proc" display="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">PkkiZkc2ImYqNiNJInhHRiRGJDYkSSlvcGVyYXRvckdGJEkmYXJyb3dHRiRGJComLUkkY29zR0YkNiM5JCIiIiwmIiM4RjAtRi02IywkRi8iIiMhIzchIiJGJEYkRiQ=</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Zio2I0kieEc2IkYlNiRJKW9wZXJhdG9yR0YlSSZhcnJvd0dGJUYlKiYtSSRjb3NHRiU2IzkkIiIiLCYiIzhGLi1GKzYjLCRGLSIiIyEjNyEiIkYlRiVGJQ==</Equation></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="int(f(x), x)" display="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">LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YnNiNJInhHRidGLA==</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCQqJiIiJyMiIiIiIiMtSSdhcmN0YW5HNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2IywkKiYtSSRzaW5HRio2I0kieEdGLUYmRiRGJUYnRiYjRiYiIzc=</Equation></Text-field>
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<Group labelreference="L102" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="int(f(x), x = 0 .. 2*Pi)" display="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">LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YnNiNJInhHRicvRiw7IiIhLCRJI1BpR0YlIiIj</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">IiIh</Equation></Text-field>
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<Group labelreference="L100" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="int(f(x), x = 0 .. 2*Pi, numeric)" display="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">LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiUtSSJmR0YnNiNJInhHRicvRiw7IiIhLCRJI1BpR0YlIiIjSShudW1lcmljR0Yl</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output">JCErckEhZnoiISM+</Equation></Text-field>
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<Group labelreference="L104" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="plot(f(x), x = -Pi .. 2*Pi)" display="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">LUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGJzYjSSJ4R0YnL0YsOywkSSNQaUdGJSEiIiwkRjAiIiM=</Equation></Text-field>
</Input>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="Matlab:" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2KFEnTWF0bGFiRicvJSVzaXplR1EjMTZGJy8lJWJvbGRHUSV0cnVlRicvJSdpdGFsaWNHRjQvJSxtYXRodmFyaWFudEdRLGJvbGQtaXRhbGljRicvJStmb250d2VpZ2h0R1ElYm9sZEYnLUkjbW9HRiQ2MFEiOkYnRi9GMi9GOEY8RjovJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGU0YvRjIvJStleGVjdXRhYmxlR0ZERkFGOg==">QyRJJ01hdGxhYkc2IiEiIg==</Equation></Text-field>
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<Text-field style="Text" layout="Normal">&gt;&gt; f=@(x) cos(x)./(13-12*cos(2*x))</Text-field>
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<Text-field style="Text" layout="Normal">f = </Text-field>
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<Text-field style="Text" layout="Normal">&gt;&gt; fplot(f,[0 2*pi]);shg</Text-field>
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<Text-field style="Text" layout="Normal">&gt;&gt; help quad</Text-field>
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<Text-field style="Text" layout="Normal">&gt;&gt; help quadl</Text-field>
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<Text-field style="Text" layout="Normal">&gt;&gt; quad(f,0 ,2*pi)</Text-field>
<Text-field style="Text" layout="Normal">ans =</Text-field>
<Text-field style="Text" layout="Normal">   1.8705e-06</Text-field>
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<Text-field style="Text" layout="Normal">&gt;&gt; tol=1e-10;quad(f,9,2*pi,tol)</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">ans =</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">   -0.2268</Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">&gt;&gt; tol=1e-10;quad(f,0,2*pi,tol)</Text-field>
<Text-field style="Text" layout="Normal">ans =</Text-field>
<Text-field style="Text" layout="Normal">   3.9262e-11</Text-field>
<Text-field style="Text" layout="Normal">&gt;&gt; tol=1e-12;quad(f,0,2*pi,tol)</Text-field>
<Text-field style="Text" layout="Normal">ans =</Text-field>
<Text-field style="Text" layout="Normal">  -6.3838e-15</Text-field>
<Text-field style="Text" layout="Normal">&gt;&gt; tol=eps;quad(f,0,2*pi,tol)</Text-field>
<Text-field style="Text" layout="Normal">Warning: Maximum function count exceeded; singularity likely. </Text-field>
<Text-field style="Text" layout="Normal">&gt; In quad at 107</Text-field>
<Text-field style="Text" layout="Normal">ans =</Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">   -0.0087       % quad ei selvi\303\244 minimtoleranssilla, onneksi varoittaa</Font></Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">                     % Lasketaan tarkemmalla menetelm\303\244ll\303\244 (funktio quadl)</Font></Text-field>
<Text-field style="Text" layout="Normal">&gt;&gt; tol=eps,quadl(f,0,2*pi,tol)</Text-field>
<Text-field style="Text" layout="Normal">tol =</Text-field>
<Text-field style="Text" layout="Normal">   2.2204e-16</Text-field>
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<Text-field style="Text" layout="Normal">ans =</Text-field>
<Text-field style="Text" layout="Normal">  -2.7756e-16</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR1EldHJ1ZUYnLyUpc3RyZXRjaHlHRjQvJSpzeW1tZXRyaWNHRjQvJShsYXJnZW9wR0Y0LyUubW92YWJsZWxpbWl0c0dGNC8lJ2FjY2VudEdGNC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjMzMzMzMzNlbUYnRi8=">JSFH</Equation></Text-field>
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