Surface Integration over a Surface Defined Parametrically - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Tasks : Calculus - Vector : Integration : Surface Integration : Task/SurfaceIntRegion3D

Surface Integration over a Surface Defined Parametrically

Description

Formulate and evaluate the surface integral of fx,y,z over a surface defined parametrically.

Surface Integral on a Surface Defined Parametrically

  Integrand

fx,y,z=

   

    xu,v=

   

yu,v=

   

    zu,v=

   

Fu,vfxu,v,yu,v,zu,v 

Ny,zu,v2+z,xu,v2+x,yu,v2

Sf ⅆσ =u=au=bv=guv=huFu,vN ⅆv ⅆu

=

b=

Sf ⅆσ=v=av=bu=Gvu=HvFu,vN ⅆu ⅆv

=

a=

 

 

                                 

Commands Used

VectorCalculus[SurfaceInt], simplify, evalf

See Also

VectorCalculus, Student[VectorCalculus]

 

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam