I have super ellipse x^4+y^4=9592^4 inside a square with edges equal to 9592*2. I want to find out what the area is between the square and the super ellipse but the super ellipse math for area is a little beyond my abilities.
In reality I am trying to solve for the area between the two to equal 93,512 by only changing the power the super ellipse uses to be created. x^z+y^z=9592^z
Can this be done?
Rearrange to get $y=(9252^4-x^4)^{\frac 1 4}$
Then integrate.