Compute the average value on the interval 06 of the function

Compute the average value on the interval [0,6] of the function f(x) that is defined piecewise by

f(x) = {2 , for 0<=x<=4
6-x, for 4<=x<=6

Please show all work / explain how to get the solution

int 6-x dx from x=4 to x=6 6x -x^2/2 36 -18 -( 24- 8)= 2 int 2 dx from 0 to 4 is 2x =8 (8+2)/6= 10/6= 5/3 5/3 is average