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    <title>MaplePrimes - answers and comments on Question, How do I  do an integration of a function of a dep-variable(with 2 arguments) which I have solved numerically</title>
    <link>http://www.mapleprimes.com/questions/128403-How-Do-I--Do-An-Integration-Of-A-Function-Of-A-Depvariable</link>
    <language>en-us</language>
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    <lastBuildDate>Sun, 14 Jun 2026 05:06:21 GMT</lastBuildDate>
    <pubDate>Sun, 14 Jun 2026 05:06:21 GMT</pubDate>
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    <itunes:summary />
    <description>The latest answers and comments added to the Question, How do I  do an integration of a function of a dep-variable(with 2 arguments) which I have solved numerically</description>
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      <title>MaplePrimes - answers and comments on Question, How do I  do an integration of a function of a dep-variable(with 2 arguments) which I have solved numerically</title>
      <link>http://www.mapleprimes.com/questions/128403-How-Do-I--Do-An-Integration-Of-A-Function-Of-A-Depvariable</link>
    </image>
    <item>
      <title>numerically</title>
      <link>http://www.mapleprimes.com/questions/128403-How-Do-I--Do-An-Integration-Of-A-Function-Of-A-Depvariable?ref=Feed:MaplePrimes:How do I  do an integration of a function of a dep-variable(with 2 arguments) which I have solved numerically:Comments#answer128407</link>
      <itunes:summary>&lt;p&gt;You could try these,&lt;/p&gt;
&lt;pre&gt;evalf( Int( a*r^2*'Phi'(r,10)^2 + 2*b*r*'Phi'(r,10)^3, r=0..infinity ) );

evalf( Int( r -&amp;gt; a*r^2*Phi(r,10)^2 + 2*b*r*Phi(r,10)^3, 0..infinity ) );
&lt;/pre&gt;
&lt;p&gt;See the &lt;a href="http://www.maplesoft.com/support/help/Maple/view.aspx?path=evalf/Int"&gt;evalf/Int&lt;/a&gt; help page for additional options for numerical quadrature (numeric integration).&lt;/p&gt;
&lt;p&gt;Could you add another equation to your original pde system, introducing a new term, the derivative (w.r.t r) of which is Phi(r,10)? ...or would it have to be Phi(r,t)? With the right BC, would solving that enhanced pde system provide a definite integral for Phi(r,10) w.r.t r?&lt;/p&gt;</itunes:summary>
      <description>&lt;p&gt;You could try these,&lt;/p&gt;
&lt;pre&gt;evalf( Int( a*r^2*'Phi'(r,10)^2 + 2*b*r*'Phi'(r,10)^3, r=0..infinity ) );

evalf( Int( r -&amp;gt; a*r^2*Phi(r,10)^2 + 2*b*r*Phi(r,10)^3, 0..infinity ) );
&lt;/pre&gt;
&lt;p&gt;See the &lt;a href="http://www.maplesoft.com/support/help/Maple/view.aspx?path=evalf/Int"&gt;evalf/Int&lt;/a&gt; help page for additional options for numerical quadrature (numeric integration).&lt;/p&gt;
&lt;p&gt;Could you add another equation to your original pde system, introducing a new term, the derivative (w.r.t r) of which is Phi(r,10)? ...or would it have to be Phi(r,t)? With the right BC, would solving that enhanced pde system provide a definite integral for Phi(r,10) w.r.t r?&lt;/p&gt;</description>
      <guid>128407</guid>
      <pubDate>Tue, 06 Dec 2011 00:41:42 Z</pubDate>
      <itunes:author>pagan</itunes:author>
      <author>pagan</author>
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