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Average Value of a Function: fx,y

Description

In the Cartesian coordinate system, determine the average value of a bivariate function.

 

Average Value of a Function: fx,y

Function

x3y

x3y

(1)

Region: uxyvx,axb

ux

x2

x2

(2)

vx

x

x

(3)

a

0

0

(4)

b

1

1

(5)

Inert integral: dy dx

StudentMultivariateCalculusFunctionAverage,y=..,x=..,output=integral

6∫01∫x2xx3yⅆyⅆx

(6)

Value

StudentMultivariateCalculusFunctionAverage,y=..,x=..

18

(7)

Commands Used

Student[MultivariateCalculus][FunctionAverage]

See Also

Student[MultivariateCalculus], Student[MultivariateCalculus][MultiInt]


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