Chapter 5.5, Problem 4QCE

Suppose that $g\left(x\right)$ is a function for which

${\displaystyle {\int }_{-2}^{1}g\left(x\right)dx}=5\text{ and }{\displaystyle {\int }_1^{2}g\left(x\right)dx}=-2$

Use this information to evaluate the definite integrals.

(a) ${\displaystyle {\int }_1^{2}5g\left(x\right)dx}$

(b) ${\displaystyle {\int }_{-2}^{2}g\left(x\right)dx}$

(c) ${\displaystyle {\int }_1^1{\left[g\left(x\right)\right]}^{2}dx}$

(d) ${\displaystyle {\int }_2^{-2}4g\left(x\right)dx}$