Chapter 8.8, Problem 84E

True or False? In Exercises 81-86, determine whether thestatement is true or false. If it is false, explain why or give anexample that shows it is false.

If the graph of f is symmetric with respect to the origin or they-axis, then ${\displaystyle {\int }_0^{\infty }f(x)dx}$ converges if and only if ${\displaystyle {\int }_{-\infty }^{\infty }f(x)dx}$

converges.