I think the power of the integral becomes (n+1)/n but i don't know how to handle the (a^n-x^n) portion
I've been trying to fing both the area and the arc length of
with respect to x where a and n are constants
Graphing examples of the function as well as solving simple examples where a=1 and n=1 (diamond) or n=2 (circle) has shown that the graph is symetrical in all quadrants.
I've written the in equation terms of y and set limits to account for the symetry and have gotten.
for the area and
But I do not how to procede from there.