Chapter 6, Problem 1TFQ

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

1. The area between the curves $y=f(x)$ and $y=g(x)$ for $a⩽x⩽b$ is $A={\displaystyle {\int }_a^b\left[f\left(x\right)-g\left(x\right)\right]dx.}$