Chapter 6.5, Problem 75E

To determine

To show: The integrals ${\displaystyle \underset{0}{\overset{3}{\int }}\left(1+x^3\right)}dx$ and $\left[{\displaystyle \underset{0}{\overset{1}{\int }}\left(1+x^3\right)dx}+{\displaystyle \underset{1}{\overset{3}{\int }}\left(1+x^3\right)dx}\right]$ are equal to each other.