FIND AVERAGE VALUE OF FUNCTION OVER INTERVAL WORKSHEET

Find the average value of the function over the given interval

Problem 1 :

f(x) = -x² + 2x + 1 for [1, 4]

Solution

Problem 2 :

Find the average value of the function on the interval. At what point(s) in the interval does the function assume its average value?

Solution

Problem 3 :

f(x) = 3e^x on [-1, 0]

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

f(x) = 2 sin x , [-π/3, π/4]

Solution