Chapter 11, Problem 25RE

To determine

To check: Whether the integral ${\displaystyle \underset{1}{\overset{\infty }{\int }}f\left(x\right)dx}$ converges or diverges if the integral ${\displaystyle \underset{-1}{\overset{\infty }{\int }}f\left(x\right)dx}$ converges and the function $f$ is continuous on the interval $\left[-1,\infty \right)$.