Thread: Weird improper integrals question...

Hmm this question is kind of werid. I'm not sure how to tackle it.

Suppose that a water jug is made by rotating the curve x = [(1-y)^-(1/4)]*[(2-y)^(-1/6)] about the y-axis from y = -infinity to y = 0. Determine if this jug can hold a finite or infinite volume of water. Explain why. Do not try to evaluate the integral.

well this is what i think....if you graph the function and visualize the rotation you will see that it is finite.