Problem : Find the average value of f for f (x) = 3x ² - 6x on [- 1, 1] .

Problem : Find the average value of f for f (x) = sin(x) on [- Π, Π] .

Problem : For the function above, find the c on [- Π, Π] such that f (c) = f _avg

Problem : Use the second fundamental theorem of calculus to find F' .

Problem : Now integrate the above expression for F and then take the derivative to find F'(x) and verify the result from the previous question.