Pei's Oval

Calculus Level 5

The architect I.M. Pei suggested that the most appealing oval to the human eye is \[{ \left| \frac { x }{ a } \right| }^{ 1.5 }+{ \left| \frac { y }{ b } \right| }^{ 1.5 }=1.\] What is its enclosed area if \[a = b = 3?\]

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