Thread: Finding a Constant

Hello, One of my homework questions ask me to find the value of c where the joint density function of x,y = c*g(x^2+y^2) where g is nonnegative and the integral of g(t) from 0 to infinity converges. How would I go about answering this question if I do not know what the function g is? Any help is much appreciated.

Thank You

The double integral must equal one.
You can switch to polar and say that



If g is only a function of r then...let

and



so