Chapter 13.3, Problem 1CP

True or false:

(a) Over the interval [a, b], the area between the continuous functions f(x) and g(x) is

${\displaystyle {\int }_{\text{a}}^{\text{b}}\text{[}f(x)-g(x)\text{]}dx}$

(b) If $f\left(x\right)\ge g\left(x\right)$ and the area between f(x) and £(x) is given by

$$ then x = a and x = b represent the left and right boundaries, respectively, of the region.

(c) To find points of intersection of $f\left(x\right)\text{ and }g\left(x\right),\text{ solve }f\left(x\right)=g\left(x\right)$.