To determine

To find:

The average value of the given function on the given interval.

Answer

43

Explanation

1) Concept:

Use the formula for the average value of f on the interval [a, b].

2) Formula:

fave=1b-a∫abf(x)dx

3) Given:

fx=x,     [0, 4]

4) Calculation:

Here,fx=x,  a=0 and b=4,

Substituting in the formula,

fave=14-0∫04(x)dx

Simplify.

fave=14∫04(x)dx

Integrating,

=14x323204

=212(4)32-(0)32

=168-0

=168

=43

Therefore,

fave=43

Conclusion:

The average value of fx=x on the interval [0, 4] is 43.