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ellipsoid

surface area of an ellipsoid

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

ellipsoid(a, b, c)

Parameters

a, b, c

-

the three principal semi-axes of the ellipsoid

Description

• 

The procedure ellipsoid returns the surface area of an ellipsoid whose semi-axes are a, b, and c where ba, cb, 0c. For a general ellipsoid the result is expressed as an unevaluated integral in terms of Int, which may be numerically evaluated by evalf.

• 

When two or more of the arguments are the same, then a solvable integral can be created.  Otherwise, elliptical integrals are needed to evaluate the general case.

Examples

evalfellipsoid5,3,2

134.7751767

(1)

See Also

evalf

Int

Student[MultivariateCalculus][SurfaceArea]

 


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