Chapter 12.4, Problem 58E

To determine

Whether the statement “${\displaystyle \underset{-\frac{\pi }{2}}{\overset{\frac{\pi }{2}}{\int }}\left|\sin x\right|dx}={\displaystyle \underset{-\frac{\pi }{2}}{\overset{\frac{\pi }{2}}{\int }}\left|\cos x\right|dx}$” is true or false. If it is true, explain why it is true. If it is false, explain why, or give an example to show why it is false.