Jump to navigation Jump to search

General

Display information for equation id:math.236358.5 on revision:236358

* Page found: Planimeter (eq math.236358.5)

(force rerendering)

Cannot find the equation data in the database. Fetching from revision text.

Occurrences on the following pages:

Hash: af866a5dd0b6d3d311f564bd359b2815

TeX (original user input):

\scriptstyle \int_\theta \tfrac{1}{2} (r(\theta))^2\,d\theta,

TeX (checked):

\scriptstyle \int _{\theta }{\tfrac {1}{2}}(r(\theta ))^{2}\,d\theta ,

LaTeXML (experimental; uses MathML) rendering

MathML (4.158 KB / 897 B) :

θ 1 2 ( r ( θ ) ) 2 𝑑 θ , subscript θ 1 2 superscript r θ 2 differential-d θ {\displaystyle\scriptstyle\int_{\theta}{\tfrac{1}{2}}(r(\theta))^{2}\,d\theta,}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\scriptstyle\int_{\theta}{\tfrac{1}{2}}(r(\theta))^{2}\,d\theta,}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">
      <mrow id="p1.1.m1.1.15a" xref="p1.1.m1.1.15.cmml">
        <msub id="p1.1.m1.1.15.1" xref="p1.1.m1.1.15.1.cmml">
          <mo largeop="true" symmetric="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mo>
          <mi id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">θ</mi>
        </msub>
        <mrow id="p1.1.m1.1.15.2" xref="p1.1.m1.1.15.2.cmml">
          <mfrac id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">
            <mn id="p1.1.m1.1.3.2" xref="p1.1.m1.1.3.2.cmml">1</mn>
            <mn id="p1.1.m1.1.3.3" xref="p1.1.m1.1.3.3.cmml">2</mn>
          </mfrac>
          <mo id="p1.1.m1.1.15.2.1" xref="p1.1.m1.1.15.2.1.cmml"></mo>
          <mpadded width="+1.7pt" id="p1.1.m1.1.15.2.2" xref="p1.1.m1.1.15.2.2.cmml">
            <msup id="p1.1.m1.1.15.2.2a" xref="p1.1.m1.1.15.2.2.cmml">
              <mrow id="p1.1.m1.1.15.2.2.2" xref="p1.1.m1.1.15.2.2.2.2.cmml">
                <mo stretchy="false" id="p1.1.m1.1.4">(</mo>
                <mrow id="p1.1.m1.1.15.2.2.2.2" xref="p1.1.m1.1.15.2.2.2.2.cmml">
                  <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">r</mi>
                  <mo id="p1.1.m1.1.15.2.2.2.2.1" xref="p1.1.m1.1.15.2.2.2.2.1.cmml"></mo>
                  <mrow id="p1.1.m1.1.15.2.2.2.2.2">
                    <mo stretchy="false" id="p1.1.m1.1.6">(</mo>
                    <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">θ</mi>
                    <mo stretchy="false" id="p1.1.m1.1.8">)</mo>
                  </mrow>
                </mrow>
                <mo stretchy="false" id="p1.1.m1.1.9">)</mo>
              </mrow>
              <mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">2</mn>
            </msup>
          </mpadded>
          <mo id="p1.1.m1.1.15.2.1a" xref="p1.1.m1.1.15.2.1.cmml"></mo>
          <mrow id="p1.1.m1.1.15.2.3" xref="p1.1.m1.1.15.2.3.cmml">
            <mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">𝑑</mo>
            <mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">θ</mi>
          </mrow>
        </mrow>
      </mrow>
      <mo id="p1.1.m1.1.15b" xref="p1.1.m1.1.15.cmml">,</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">
        <apply id="p1.1.m1.1.15.1.cmml" xref="p1.1.m1.1.15.1">
          <csymbol cd="ambiguous" id="p1.1.m1.1.15.1.1.cmml">subscript</csymbol>
          <int id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
          <ci id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">θ</ci>
        </apply>
        <apply id="p1.1.m1.1.15.2.cmml" xref="p1.1.m1.1.15.2">
          <times id="p1.1.m1.1.15.2.1.cmml" xref="p1.1.m1.1.15.2.1"/>
          <apply id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">
            <divide id="p1.1.m1.1.3.1.cmml"/>
            <cn type="integer" id="p1.1.m1.1.3.2.cmml" xref="p1.1.m1.1.3.2">1</cn>
            <cn type="integer" id="p1.1.m1.1.3.3.cmml" xref="p1.1.m1.1.3.3">2</cn>
          </apply>
          <apply id="p1.1.m1.1.15.2.2.cmml" xref="p1.1.m1.1.15.2.2">
            <csymbol cd="ambiguous" id="p1.1.m1.1.15.2.2.1.cmml">superscript</csymbol>
            <apply id="p1.1.m1.1.15.2.2.2.2.cmml" xref="p1.1.m1.1.15.2.2.2">
              <times id="p1.1.m1.1.15.2.2.2.2.1.cmml" xref="p1.1.m1.1.15.2.2.2.2.1"/>
              <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">r</ci>
              <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">θ</ci>
            </apply>
            <cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">2</cn>
          </apply>
          <apply id="p1.1.m1.1.15.2.3.cmml" xref="p1.1.m1.1.15.2.3">
            <csymbol cd="latexml" id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">differential-d</csymbol>
            <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">θ</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\scriptstyle\int_{\theta}{\tfrac{1}{2}}(r(\theta))^{2}\,d\theta,}</annotation>
  </semantics>
</math>

SVG image empty. Force Re-Rendering

SVG (7.341 KB / 2.684 KB) :

integral Underscript theta Endscripts one-half times left-parenthesis r times left-parenthesis theta right-parenthesis right-parenthesis squared times italic d theta comma

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Reached unknown latex-command \scriptstyle - Reason: Unknown LaTeX Command

Translation to Mathematica

In Mathematica:

Reached unknown latex-command \scriptstyle - Reason: Unknown LaTeX Command

Similar pages

Calculated based on the variables occurring on the entire Planimeter page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results