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 the non-oriented integrals \oiint and \oiiint which are not yet rendered on Wikipedia.

Arguments

 * 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.svg
 * oiint = OiintclockwiseLaTeX.svg
 * oiiint = OiiintclockwiseLaTeX.svg
 * varoint = VarointclockwiseLaTeX.svg
 * varoiint = VaroiintclockwiseLaTeX.svg
 * varoiiint = VaroiiintclockwiseLaTeX.svg
 * ointctr = OintctrclockwiseLaTeX.svg
 * oiintctr = OiintctrclockwiseLaTeX.svg
 * oiiintctr = OiiintctrclockwiseLaTeX.svg
 * varointctr = VarointctrclockwiseLaTeX.svg
 * varoiintctr = VaroiintctrclockwiseLaTeX.svg
 * varoiiintctr = VaroiiintctrclockwiseLaTeX.svg
 * }
 * }


 * The default is OintclockwiseLaTeX.svg


 * 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: $$