use the shell method to find the volume bounded by y= 2sqrt(x), and y=6 rotated around the y-axis

Question

anonymous · Answer

Do you know how to get started with this problem? You can start by drawing the graph.

anonymous · Answer

yes i have the graph already i just don't know how to get the answer

anonymous · Answer

Ok, so how far into the problem do you understand it?

anonymous · Answer

^or what part are you having problems with

anonymous · Answer

I think I started off like this $$2\pi \int\limits_{0}^{6}x(2\sqrt{x})dx$$

anonymous · Answer

but I am not sure

anonymous · Answer

and if its correct I dont know how to continue

anonymous · Answer

Have you drawn the two functions? That's usually a good start.

anonymous · Answer

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anonymous · Answer

Your integral is almost correct, make sure to check at what point both functions intersect.

anonymous · Answer

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