Hello, casesam!

A sketch might help . . .Find the area inside , but outsideCode:18| * * * *:::::|:::::* *:::::::|:::::::* *::::::::|::::::::* :::::::::|::::::::: *:::::::::|:::::::::* *:::::::::|:::::::::* *:::::::::|:::::::::* :::::::ooo::::::: *:::o | o:::* *:o | o:* * | * -----o----*-*-*----o----- | 2 o | o o | o ooo |

The graphs intersect where: .

Hence: .

Due to the symmetry, we can integrate from 0.11134 to . . . and double.