Chapter 7.4, Problem 46E

(a)

To determine

To verify: The equation ${\displaystyle \underset{a}{\overset{c}{\int }}f\left(x\right)dx}={\displaystyle \underset{a}{\overset{b}{\int }}f\left(x\right)dx}+{\displaystyle \underset{b}{\overset{c}{\int }}f\left(x\right)dx}$ is true if b is replaced by d.

(b)

To determine

To verify: The equation ${\displaystyle \underset{a}{\overset{c}{\int }}f\left(x\right)dx}={\displaystyle \underset{a}{\overset{b}{\int }}f\left(x\right)dx}+{\displaystyle \underset{b}{\overset{c}{\int }}f\left(x\right)dx}$ is true if b is replaced by g.