evaluate the triple integral by switching to cylindrical coordinates.
the triple integral of 1+ (x)/(sqrt(x^2+y^2))
over S which is the solid bounded by the paraboloids z=x^2+y^2 and z=1-x^2-y^2
i changed the equation to cylindrical coordinates and simplified to get 1+cos(theta)
my main problem is finding the boundaries to integrate from.
does anyone know how i can find the boundaries for r, theta, and z?
the final answer in the back of the book is pi/4 if that helps.
thank you so much! i just can't figure out how to find the boundaries when it's not in rectangular coordinates..