Chapter 15.2, Problem 15ES

To determine

Whether the statement, “If $C$ is a smooth curve in the $xy$ plane and $f\left(x,y\right)$ is a continuous function defined on $C$ , then ${\displaystyle {\int }_{C}f\left(x,y\right)ds}=-{\displaystyle {\int }_{-C}f\left(x,y\right)ds}$ �, is true or false.