Chapter 6.1, Problem 100E

In Exercises 96-100, determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false.

100. If f and t are integrable, then ${\displaystyle \int \text{f}(\text{x})\text{g}(\text{x})\text{dx}=\left[{\displaystyle \int \text{f}(\text{x})\text{dx}}\right]}\left[{\displaystyle \int \text{g}(\text{x})\text{dx}}\right]$