Use a finite sum to estimate the average value of f on the given interval by partitioning the interval into four subintervals of equal length and evaluating f at the subinterval midpoints. f(x)=x3 on [0, 2]

Average length of the given function

 A(x)    

Step-by-step explanation:

Step(i):-

Given function f(x) = x³  on [0,2]

Given interval by partitioning the interval into four subintervals of equal length

The average length of four subintervals of equal length

Step(ii):-

Now integrating

Final answer

Average length of the given function