Math [Calculus]

I'm asked to find the volume of the solid bounded by the curves x=1+y^2 and y=x-3, rotated about the y-axis.

I have a general idea of how to start the problem off, but I'm not sure how to find the interval that I need to work with...

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  1. First put each equation in the form x= .

    There should be two intersections between the two equations, which will define the bounded area.

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  2. Okay, so when I write the integral, is it in terms of x or y?

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  3. It should be in terms of y, because you are rotating around the x axis. (That's why you have the form x = ).

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  4. *I meant y axis

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  5. Okay, that makes more sense now. Thanks so much!

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