Find the volume of the sphere:
f(x,y,z)=e^(x^2+y^2+z^2) over x^2+y^2+z^2≤9 using spherical coordinates
After working trough I get this enormous number 228965, when I know its 113.097 using the simple volume formula for a sphere. I think I am having trouble with the integration of e^(rho^2)*rho... Any tips guys?
redsoxfan is correct, there is no elementary primitive for that function.
make sure your integral is set up correctly. perhaps a change of integration order will solve the problem. that is, integrating with respect to another variable other than first may give you a factor you need to get an integrable expression.