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<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>Il dubbio sollevato dal
collega circa l’integrazione, ha sollevato in me un ulteriore dubbio:
l’errore dove si commette?<o:p></o:p></span></font></p>
<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>Credo, almeno spero, di
aver compreso dove si annida.<o:p></o:p></span></font></p>
<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>Il volume, applicando i
metodi dell’analisi, si calcola con l’integrale multiplo <sub><!--[if gte vml 1]><v:shapetype
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<v:f eqn="prod @3 21600 pixelHeight" />
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</xml><![endif]--> esteso al dominio normale <sub><!--[if gte vml 1]><v:shape
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</xml><![endif]-->. Utilizzando la relazione geometrica che si deduce <sub><!--[if gte vml 1]><v:shape
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<v:imagedata src="cid:image005.wmz@01C9F80F.CEB07B00" o:title="" />
</v:shape><![endif]--><![if !vml]><img width=68 height=19
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<o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1063"
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</xml><![endif]--> č come se si effettuasse il cambiamento di variabili
nell’integrale multiplo: <sub><!--[if gte vml 1]><v:shape id="_x0000_i1064"
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<v:imagedata src="cid:image007.wmz@01C9F80F.CEB07B00" o:title="" />
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<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>che trasforma il dominio
normale <sub><span style='position:relative;top:14.0pt;mso-text-raise:-14.0pt'><!--[if gte vml 1]><v:shape
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<v:imagedata src="cid:image019.wmz@01C9F80F.F3D748A0" o:title="" />
</v:shape><![endif]--><![if !vml]><img width=373 height=45
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</xml><![endif]--> nel dominio normale <sub><!--[if gte vml 1]><v:shape id="_x0000_i1066"
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<v:imagedata src="cid:image011.wmz@01C9F80F.CEB07B00" o:title="" />
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di variabili con determinante jacobiano uguale a <sub><!--[if gte vml 1]><v:shape
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</xml><![endif]--> e l’integrale <sub><!--[if gte vml 1]><v:shape id="_x0000_i1068"
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<v:imagedata src="cid:image015.wmz@01C9F80F.CEB07B00" o:title="" />
</v:shape><![endif]--><![if !vml]><img width=29 height=40
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</xml><![endif]--> si trasforma in <sub><!--[if gte vml 1]><v:shape id="_x0000_i1069"
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<v:imagedata src="cid:image017.wmz@01C9F80F.CEB07B00" o:title="" />
</v:shape><![endif]--><![if !vml]><img width=71 height=39
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<o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1069"
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</xml><![endif]-->.<o:p></o:p></span></font></p>
<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>Da questo si deduce che
se non si effettuano sezioni in modo tale da rendere il dominio normale e poter
ridurre gli integrali, l’utilizzo arbitrario di variabili comporta
cambiamenti con relativa trasformazione degli insiemi.<o:p></o:p></span></font></p>
<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'><o:p> </o:p></span></font></p>
<p class=MsoNormal style='text-align:justify'><font size=3
face="Times New Roman"><span style='font-size:12.0pt'>Saluti Mario<o:p></o:p></span></font></p>
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