Chapter 4, Problem 3RE

Classify each statement as either true or false.

For any continuous function f defined over $\left[-1,7\right]$, it follows that

${\displaystyle {\int }_{-1}^{2}f\left(x\right)}dx+{\displaystyle {\int }_2^{7}f\left(x\right)dx}={\displaystyle {\int }_{-1}^{7}f\left(x\right)}dx$