Chapter 4.3, Problem 60E

To determine

To calculate: The value of $a$ and $b$ that make the provided statement ${\displaystyle {\int }_{-3}^{3}f\left(x\right)dx}+{\displaystyle {\int }_3^{6}f\left(x\right)dx}-{\displaystyle {\int }_a^{b}f\left(x\right)dx}={\displaystyle {\int }_1^{6}f\left(x\right)dx}$ true.