Chapter 5.5, Problem 12E

A In Problems 9–12,

1. (A) Calculate the change in F(x) from x = 10 to x = 15.
2. (B) Graph F′(x) and use geometric formulas (see the endpapers at the back of the book) to calculate the area between the graph of F′(x) and the x axis from x = 10 to x = 15.
3. (C) Verify that your answers to (A) and (B) are equal, as is guaranteed by the fundamental theorem of calculus.

12. F(x) = x² + 30x + 210