Show that the perimeter of the curve with equation x^2/3 + y^2/3 = 1 is 6.
How can I find this?
I forget the same of this particular shape, Maybe an astaroid or hypocycloid or something. but you can write it as
Find the derivative and square it and you get:
Add 1 and it becomes
Now, use the arc length formula:
Now, you simply have to integrate