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<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>86</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependences>
      <assembly name="SMath Studio Desktop" version="0.96.4909.6802" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Math Region" version="0.96.4909.6802" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="MaximaPlugin" version="1.0.5115.5713" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="56" height="40" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">int</e>
      </input>
    </math>
  </region>
  <region id="1" left="126" top="27" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>int(f,x)</p>
    </text>
  </region>
  <region id="2" left="18" top="54" width="57" height="66" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
    </math>
  </region>
  <region id="3" left="126" top="63" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>int(f,x,a,b)</p>
    </text>
  </region>
  <region id="4" left="18" top="126" width="202" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Bestandteil des Plugins</p>
    </text>
    <text lang="eng">
      <p>Part of plugin</p>
    </text>
  </region>
  <region id="5" left="261" top="126" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="6" left="18" top="153" width="664" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Integral-Funktion. SMath kann bestimmte Integrale numerisch berechnen, wenn die 
Integrationsgrenzen dimensionslos sind.   </p>
    </text>
    <text lang="eng">
      <p>Integral function. SMath can only compute definite integrals numerically. The function
variant without interval limits is not functional. It can still be used for descriptive
purposes and for symbolic computations with the Maple Wrapper plugin.</p>
    </text>
  </region>
  <region id="7" left="18" top="216" width="267" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Section Math Integrals.sm">Integrale mit SMath-Bordmitteln</p>
    </text>
    <text lang="eng">
      <p href="Section Math Integrals.sm">Integrals</p>
    </text>
  </region>
  <region id="8" left="27" top="243" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
      </input>
    </math>
  </region>
  <region id="9" left="108" top="243" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Integrand  </p>
    </text>
  </region>
  <region id="10" left="27" top="270" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
    </math>
  </region>
  <region id="11" left="108" top="270" width="181" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Integrationsvariable </p>
    </text>
    <text lang="eng">
      <p>variable over which to integrate</p>
    </text>
  </region>
  <region id="12" left="27" top="297" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">a</e>
      </input>
    </math>
  </region>
  <region id="13" left="108" top="297" width="217" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>untere Integrationsgrenze</p>
    </text>
    <text lang="eng">
      <p>lower interval limit</p>
    </text>
  </region>
  <region id="14" left="27" top="324" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">b</e>
      </input>
    </math>
  </region>
  <region id="15" left="108" top="324" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>upper interval limit</p>
    </text>
    <text lang="eng">
      <p>upper interval limit</p>
    </text>
  </region>
  <region id="16" left="18" top="360" width="683" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Das Maxima-Plugin kann die interne Integrationsfunktion überschreiben und dadurch 
mit symbolischen Fähigkeiten ausstatten.</p>
    </text>
    <text lang="eng">
      <p>The Maxima plugin can overwrite the integral function, thus enabling symbolic
capabilities.</p>
    </text>
  </region>
  <region id="17" left="18" top="414" width="628" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Einen Überblick über die Leistungsfähigkeit gibt die folgende Handbuchseite</p>
    </text>
    <text lang="eng">
      <p>The following handbook page gives an overview:</p>
    </text>
  </region>
  <region id="18" left="18" top="441" width="176" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Section math comparison maple-maxima int.sm">Vergleich: Integrale</p>
    </text>
    <text lang="eng">
      <p href="Section math comparison maple-maxima int.sm">Comparison: integrals</p>
    </text>
  </region>
  <region id="19" left="18" top="468" width="684" height="72" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Wenn Maxima Annahmen zum Vorzeichen von Teilausdrücken oder Variablen machen muss,
dann wird dies in eienr Meldung angezeigt. Leider ist es momentan nicht möglich, 
anzuzeigen, für welchen Ausdruck dies gilt. Wenn man mit assume() entsprechende
Annahmen macht, entfällt die Meldung.</p>
    </text>
    <text lang="eng">
      <p>If Maxima needs to make assumptions on the sign of variables or expressions, then
positive values are assumed and a message is returned. Unfortunately, this message
does not contain information on what expression the assumption was made. </p>
    </text>
  </region>
  <region id="20" left="18" top="549" width="452" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">cleanup</e>
        <e type="function" preserve="true" args="1">MaximaControl</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">Maxima was re-initialized</e>
      </result>
    </math>
  </region>
  <region id="21" left="18" top="585" width="403" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">int()</e>
        <e type="function" preserve="true" args="1">MaximaTakeover</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">int() now use Maxima</e>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="621" width="656" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maxima kann das folgende Integral nicht berechnen, wenn das Vorzeichen von x.0 
unbekannt ist.</p>
    </text>
    <text lang="eng">
      <p>Maxima notifies that assumptions are made in order to compute the integral.</p>
    </text>
  </region>
  <region id="23" left="18" top="657" width="108" height="51" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">ε</e>
        <e type="operand">ε.0</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="24" left="135" top="657" width="120" height="60" color="#000000" bgColor="#ffffff" fontSize="10">
    <math optimize="2">
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">y.0</e>
        <e type="operand">x</e>
        <e type="operand">x.0</e>
        <e type="operator" args="2">/</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="25" left="261" top="657" width="518" height="125" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">ε</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">x.0</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand" style="string">Variables assumed to be positive</e>
        <e type="operand">ε.0</e>
        <e type="operand">4</e>
        <e type="operand">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">12</e>
        <e type="operand">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">sys</e>
      </result>
    </math>
  </region>
  <region id="26" left="18" top="774" width="672" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Wenn man weiß, welche Variablen Annahmen erfordern, dann kann man diese explizit 
deklarieren, Maxima bringt dann keine Meldung mehr beim Integrieren.</p>
    </text>
    <text lang="eng">
      <p>If you can guess what assumption is required and use assume to make it explicit, the
message vanishes.</p>
    </text>
  </region>
  <region id="27" left="18" top="828" width="235" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.0</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
        <e type="function" args="1">assume</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.0</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&gt;</e>
      </result>
    </math>
  </region>
  <region id="28" left="261" top="828" width="417" height="105" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">ε</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">x.0</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">ε.0</e>
        <e type="operand">4</e>
        <e type="operand">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">12</e>
        <e type="operand">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
      </result>
    </math>
  </region>
  <region id="29" left="18" top="936" width="201" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">all</e>
        <e type="function" args="1">kill</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">done</e>
      </result>
    </math>
  </region>
  <region id="30" left="252" top="936" width="481" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Dies löscht die Annahmeliste ohne den takeover/surrender-
Status des Plugins zurückzusetzen.</p>
    </text>
    <text lang="eng">
      <p>This deletes the assume list without resetting the 
takeover/surrender state of the plugin</p>
    </text>
  </region>
  <region id="31" left="18" top="963" width="235" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.0</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
        <e type="function" args="1">assume</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.0</e>
        <e type="operand">0</e>
        <e type="operator" args="2">&lt;</e>
      </result>
    </math>
  </region>
  <region id="32" left="261" top="972" width="426" height="105" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">ε</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">x.0</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="symbolic">
        <e type="operand">ε.0</e>
        <e type="operand">4</e>
        <e type="operand">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">3</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">12</e>
        <e type="operand">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="33" left="18" top="1098" width="684" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Maßeinheiten werden immer als positive reelle Zahlen betrachtet. In solchen Fällen
kommt keine Meldung.</p>
    </text>
    <text lang="eng">
      <p>Units, however, are recognized as being positive.</p>
    </text>
  </region>
  <region id="34" left="252" top="1125" width="481" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Dies löscht die Annahmeliste ohne den takeover/surrender-
Status des Plugins zurückzusetzen.</p>
    </text>
    <text lang="eng">
      <p>This deletes the assume list without resetting the 
takeover/surrender state of the plugin</p>
    </text>
  </region>
  <region id="35" left="18" top="1143" width="201" height="28" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">all</e>
        <e type="function" args="1">kill</e>
        <e type="function" preserve="true" args="1">Maxima</e>
      </input>
      <result action="symbolic">
        <e type="operand">done</e>
      </result>
    </math>
  </region>
  <region id="36" left="18" top="1170" width="63" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.0</e>
        <e type="operand" preserve="false" style="unit">x.0</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="37" left="81" top="1170" width="63" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">y.0</e>
        <e type="operand" preserve="false" style="unit">y.0</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="38" left="153" top="1170" width="571" height="110" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">ε</e>
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" args="1">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operand">x.0</e>
        <e type="function" preserve="true" args="4">int</e>
      </input>
      <result action="none">
        <e type="operand">ε.0</e>
        <e type="operand">4</e>
        <e type="operand" preserve="false" style="unit">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">x.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operand">4</e>
        <e type="operand" preserve="false" style="unit">x.0</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">x.0</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">12</e>
        <e type="operand" preserve="false" style="unit">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
        <e type="operand" preserve="false" style="unit">x.0</e>
        <e type="operand">4</e>
        <e type="operator" args="2">^</e>
        <e type="operand">12</e>
        <e type="operand" preserve="false" style="unit">y.0</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand" preserve="false" style="unit">x.0</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="39" left="18" top="1287" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="40" left="18" top="1305" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
  </region>
  <region id="41" left="18" top="1341" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2014-01-19 22:49:58 +0100 (So, 19. Jan 2014) $ </p>
    </text>
  </region>
</regions>