No AM-GM here!
Calculus
Level
5
\[ \large \displaystyle\int _{ 0 }^{ 2\pi }{ \sqrt { { a }^{ 2 }\sin ^{ 2 }{ x } +9\cos ^{ 2 }{ x } } } \, dx \]
Over all constant real values of \(a\), what is the minimial value of the above expression?
by
Hummus a