Average Value of a Function: fx,y,z
Description
In the Cartesian coordinate system, determine the average value of a multivariate function.
Function
x3⁢y2⁢z
Region: z1x,y≤z≤z2x,y,y1x≤y≤y2x,a≤x≤b
z1x,y
1−x−y
z2x,y
10−x2−y2
y1x
x2
y2x
x
a
0
b
1
Inert integral: dz dy dx
StudentMultivariateCalculusFunctionAverage,z=..,y=..,x=..,output=integral
140219⁢∫01∫x2x∫1−x−y10−x2−y2x3⁢y2⁢zⅆzⅆyⅆx
Value
StudentMultivariateCalculusFunctionAverage,z=..,y=..,x=..
72239204984
Commands Used
Student[MultivariateCalculus][FunctionAverage]
See Also
Student[MultivariateCalculus], Student[MultivariateCalculus][MultiInt]
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