Suppose we have a shape $x^4 + y^4 = R^4$. How can we find the area of this?
My initial thought was to find $\int_0^R\sqrt[4]{R^4 - X^4}dx$ and multiply this by 4, but I am struggling to find the antiderivative. Is there a better approach?
Suppose we have a shape $x^4 + y^4 = R^4$. How can we find the area of this?
My initial thought was to find $\int_0^R\sqrt[4]{R^4 - X^4}dx$ and multiply this by 4, but I am struggling to find the antiderivative. Is there a better approach?