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Student[MultivariateCalculus][MultiInt] - return the integral of a function defined over a region
Calling Sequence
MultiInt(f(x,y), x=a..b, y=c..d, opts)
MultiInt(f(x,y,z), x=a..b, y=c..d, z=e..f, opts)
Parameters
f(x, y), f(x, y, z)
-
algebraic expressions
x, y, z
name; specify the independent variables
a, b, c, d, e, f
algebraic; limits of integration
opts
(optional) equation(s) of the form option=value where option is coordinates or output; specify output options
Description
The MultiInt command returns the integral of a function over a region in space.
The opts argument can contain any of the following equations that set output options.
coordinates = cartesian[x,y], polar[r,theta] (2-D), cartesian[x,y,z], cylindrical[r,theta,z], spherical[r,phi,theta]
Determines the coordinate system being used. The first variable of polar, cylindrical, and spherical is assumed to be the radial component. The default is cartesian.
output = value, integral or steps
This option controls the return value of the function.
* output = value specifies that the value of the integral is returned. The default is output = value.
* output = integral specifies that the inert form of the integral is shown.
* output = steps specifies that the intermediate steps of solving the multiple integral are shown.
Examples
See Also
Student, Student[MultivariateCalculus]
Download Help Document
