Template:Intorient/doc

This template is used to include the oriented integrals around closed surfaces (or hypersurfaces in higher dimensions), usually in a mathematical formula. They are additional symbols to \oiint and \oiiint which are not yet rendered on wikipedia.

Arguments

 * mode: choose either "png" (large, 45px width) or "mathjax" (small, 35px width), depending on which rendering is used. The default is the average of 40px width.
 * preintegral the text or formula immediately before the integral
 * symbol the integral symbol,


 * {| class="wikitable"

!rowspan="2"| Select one of... !colspan="3"| Arrow up, integrals over a closed !colspan="3"| Arrow down, integrals over a closed !1-surface !2-surface !3-surface !1-surface !2-surface !3-surface !Clockwise orientation !Counterclockwise orientation
 * oint=OintclockwiseLaTeX.png
 * oiint=OiintclockwiseLaTeX.png
 * oiiint=OiiintclockwiseLaTeX.png
 * varoint=VarointclockwiseLaTeX.png
 * varoiint=VaroiintclockwiseLaTeX.png
 * varoiiint=VaroiiintclockwiseLaTeX.png
 * ointctr=OintctrclockwiseLaTeX.png
 * oiintctr=OiintctrclockwiseLaTeX.png
 * oiiintctr=OiiintctrclockwiseLaTeX.png
 * varointctr=VarointctrclockwiseLaTeX.png
 * varoiintctr=VaroiintctrclockwiseLaTeX.png
 * varoiiintctr=VaroiiintctrclockwiseLaTeX.png
 * }
 * }


 * The default is OintclockwiseLaTeX.png


 * intsubscpt the subscript below the integral
 * integrand the text or formula immediately after the formula

All parameters are optional.

Examples

 * The work done in a thermodynamic cycle on an indicator diagram:


 * In complex analysis for contour integrals: $$

$$


 * Line integrals of vector fields: $$

$$


 * Other examples: $$

$$



$$