Calculate the area under the curve for the following:
f(x) = √x*√(−32 − x)
g(x) = √(−x2 − 32x)
The Attempt at a Solution
I've been trying to do partial integration since the functions f(x)=g(x)area are mirrored, so they are equal area. I am thinking that since they have the same area, I only need to calculate one of the problems, but I just don't know how to approach it. I've tried using substitution, partial integration etc. I can't see any obvious trig identities. I'm just stuck. Thanks so much in advance!