http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?action=history&feed=atom&title=12.1_Trippelintegraler 12.1 Trippelintegraler - Versionshistorik 2026-05-22T01:05:38Z Versionshistorik för denna sida på wikin MediaWiki 1.11.1 http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=12.1_Trippelintegraler&diff=740&oldid=prev Olosv den 24 juli 2013 kl. 09.35 2013-07-24T09:35:06Z <p></p> <table style="background-color: white; color:black;"> <col class='diff-marker' /> <col class='diff-content' /> <col class='diff-marker' /> <col class='diff-content' /> <tr> <td colspan='2' style="background-color: white; color:black;">← Äldre version</td> <td colspan='2' style="background-color: white; color:black;">Versionen från 24 juli 2013 kl. 09.35</td> </tr> <tr><td colspan="2" class="diff-lineno">Rad 1:</td> <td colspan="2" class="diff-lineno">Rad 1:</td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'>-</td><td style="background: #ffa; color:black; font-size: smaller;"><div>{{Mall:Vald flik|[[14.1 Trippelintegraler |14.1]]}}</div></td><td class='diff-marker'>+</td><td style="background: #cfc; color:black; font-size: smaller;"><div>{{Mall:Vald flik|[[14.1 Trippelintegraler|14.1]]}}</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;100%&quot;| &amp;nbsp;</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>| style=&quot;border-bottom:1px solid #797979&quot; width=&quot;100%&quot;| &amp;nbsp;</div></td></tr> <tr><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>|}</div></td><td class='diff-marker'> </td><td style="background: #eee; color:black; font-size: smaller;"><div>|}</div></td></tr> </table> Olosv http://wiki.math.se/wikis/samverkan/flervariabelanalys-LIU/index.php?title=12.1_Trippelintegraler&diff=739&oldid=prev Olosv: Ny sida: {| border="0" cellspacing="0" cellpadding="0" height="30" width="100%" | style="border-bottom:1px solid #797979" width="5px" | &nbsp; {{Mall:Vald flik|14.1}} | s... 2013-07-24T09:33:04Z <p>Ny sida: {| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot; | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp; {{Mall:Vald flik|<a href="/wikis/samverkan/flervariabelanalys-LIU/index.php/14.1_Trippelintegraler" title="14.1 Trippelintegraler">14.1</a>}} | s...</p> <p><b>Ny sida</b></p><div>{| border=&quot;0&quot; cellspacing=&quot;0&quot; cellpadding=&quot;0&quot; height=&quot;30&quot; width=&quot;100%&quot;<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;5px&quot; | &amp;nbsp;<br /> {{Mall:Vald flik|[[14.1 Trippelintegraler |14.1]]}}<br /> | style=&quot;border-bottom:1px solid #797979&quot; width=&quot;100%&quot;| &amp;nbsp;<br /> |}<br /> <br /> __TOC__<br /> &lt;div class=&quot;ovning&quot;&gt;<br /> ===Övning 15.1.1===<br /> Beräkna följande integraler<br /> <br /> a) &lt;math&gt;\iint_D dxdy&lt;/math&gt; då &lt;math&gt;D=\{(x,y)\in\mathbb{R}^2 : x^2+y^2&lt; 3 \}&lt;/math&gt;<br /> <br /> b) &lt;math&gt;\iint_D dxdy&lt;/math&gt; då &lt;math&gt;D=\{(x,y)\in\mathbb{R}^2 : \frac{x^2}{9}+\frac{y^2}{4}&lt; 1 \}&lt;/math&gt;<br /> <br /> c) &lt;math&gt;\iint_D xdxdy&lt;/math&gt; då &lt;math&gt;D=\{(x,y)\in\mathbb{R}^2: 0 &lt; x &lt; 2,\ 2 &lt; y&lt; 4 \}&lt;/math&gt;<br /> <br /> &lt;/div&gt;{{#NAVCONTENT:Svar|Svar Övning 15.1.1|Tips och lösning till a)|Tips och lösning till övning 15.1.1a|Tips och lösning till b)|Tips och lösning till övning 15.1.1b|Tips och lösning till c)|Tips och lösning till övning 15.1.1c}}</div> Olosv