1. The problem statement, all variables and given/known data The area bounded by the loop of the curve ## 4y^2 = x^2(4-x^2) ## is in sq. units 7/3 8/3 11/3 16/3 2. Relevant equations NA 3. The attempt at a solution By putting x = 0 and x = 2 I am getting y = 0. Getting complex y values after x exceeds 2. I am not getting where the loop would form I am not allowed to use graphing calculator to see shape. Is there any better way than plotting for concavity of function, to determine loop, or something else?