Chapter 5.2, Problem 90E

Suppose that ${\displaystyle {\int }_0^{4}f\left(x\right)dx}=5$ and ${\displaystyle {\int }_0^{2}f\left(x\right)dx}=-3$ , and ${\displaystyle {\int }_0^{4}g\left(x\right)dx}=-1$ and ${\displaystyle {\int }_0^{2}g\left(x\right)dx}=2$ . In the following exercises, compute the intervals.

90. ${\displaystyle {\int }_0^2\left(f\left(x\right)-g\left(x\right)\right)dx}$