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      <title lang="eng">
        <p>     hatch, Integrate algo     </p>
      </title>
    </area>
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      <math>
        <description active="true" position="Top" lang="ger">
          <p>Erzeugt eine Matrix für die Darstellung vertikaler Linien zwischen den Funktionen f(x) und g(x) im Bereich von x1 bis x2 mit 2*n Linien.</p>
        </description>
        <description active="true" position="Top" lang="eng">
          <p>Generates a matrix for 2*N vertical lines (hatching) between functions f(x) and g(x) in x-range from x1 to x2</p>
        </description>
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          <e type="bracket">(</e>
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          <e type="operand">h</e>
          <e type="operand">x.1</e>
          <e type="operand">x.1</e>
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          <e type="operand">x.1</e>
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          <e type="operand">2</e>
          <e type="function" preserve="true" args="6">mat</e>
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          <e type="operand">x.1</e>
          <e type="operand">x.2</e>
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          <e type="operator" args="2">-</e>
          <e type="operand">x.1</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" preserve="true" args="3">range</e>
          <e type="operand">h</e>
          <e type="operand">h</e>
          <e type="operand">x</e>
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          <e type="operand">2</e>
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          <e type="operand">2</e>
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          <e type="operator" args="2">+</e>
          <e type="function" args="1">g</e>
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          <e type="operand">dx</e>
          <e type="operand">2</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
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          <e type="operand">2</e>
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          <e type="function" args="1">f</e>
          <e type="operand">x</e>
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          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">f</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="operand">x</e>
          <e type="operand">dx</e>
          <e type="operator" args="2">+</e>
          <e type="function" args="1">g</e>
          <e type="operand">4</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="10">mat</e>
          <e type="function" preserve="true" args="2">stack</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">for</e>
          <e type="operand">h</e>
          <e type="operand">4</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="6">line</e>
          <e type="operator" args="2">:</e>
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      <math>
        <description active="true" position="Top" lang="eng">
          <p>integrate algo style</p>
        </description>
        <input>
          <e type="operand">f</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operand">z</e>
          <e type="function" args="4">∫</e>
          <e type="operand">u</e>
          <e type="function" args="1">f</e>
          <e type="operand">u</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="function" preserve="true" args="4">int</e>
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    <math>
      <description active="true" position="Top" lang="eng">
        <p>Productive maths user system in compactum</p>
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        <e type="operand">0.25</e>
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        <e type="operand">6</e>
        <e type="operand">1</e>
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        <e type="operand">X</e>
        <e type="operand">x</e>
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        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">solve</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">0.9553</e>
      </result>
    </math>
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        <e type="operand">a</e>
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        <e type="operand">x</e>
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        <e type="operand">b</e>
        <e type="operand">20</e>
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        <e type="operand">b</e>
        <e type="operand">z</e>
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      <result action="numeric">
        <e type="operand">0.7071</e>
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