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**[solved]Volume by integration problem**

I was just curious if I'm doing this wrong, but for the problem I am working on, I am rotating around the y axis a formula.

Part of the graph crosses into the negative x-axis.

So, my questions are; do I have to separate this into 2 integrals, one for the positive section and one for the negative section like is done with areas?

Also, if I do this split an there is a multiplier, do I keep this multiplier (in this case pi) on both halves? Or would that unintentionally create a 2pi?

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