# Calculus

posted by
**Erika**
.

Use the Fundamental Theorem of Calculus to find the area of the region bounded by the x-axis and the graph of y = 4 x3 − 4 x.

Answer:

(1) Use the Fundamental Theorem of Calculus to find the average value of f(x) = e0.9 x between x = 0 and x = 2.

Answer:

(2) Draw the graph of f(x) on your calculator. Find the average value on the graph. Finally give the exact x value for which f(x) = the average value.

Answer for the x value: