Along an Ellipse - Maple Help

# Online Help

###### All Products    Maple    MapleSim

Line Integral along an Ellipse in 2-D

 Description Calculate the line integral of F.dr along an ellipse.

Define the coordinates.

 > $\mathrm{VectorCalculus}\left[\mathrm{SetCoordinates}\right]\left({\mathrm{cartesian}}\left[{x}{,}{y}\right]\right):$

Define the vector field.

 >
 $\left({x}{}{y}\right){\stackrel{{_}}{{e}}}_{{x}}{+}\left({2}{}{x}{+}{3}{}{{y}}^{{2}}\right){\stackrel{{_}}{{e}}}_{{y}}$ (1)

Specify the ellipse, and then calculate the line integral of the vector field.

 > $\mathrm{VectorCalculus}\left[\mathrm{LineInt}\right]\left(,\mathrm{Ellipse}\left(\frac{{{x}}^{{2}}}{{3}}{+}\frac{{{y}}^{{2}}}{{10}}{-}{1}\right)\right)$
 ${2}{}\sqrt{{10}}{}\sqrt{{3}}{}{\mathrm{π}}$ (2)
 Commands Used
 See Also