- #1
californicate
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Homework Statement
Find the volume of the solid of revolution obtained by rotating the area bounded by the curves about the line indicated.
y=x2-2, y=0 about y=-1. Need only consider part above y=-1
Homework Equations
V=∏a∫b[f(x)]2dx
The Attempt at a Solution
I'm mainly unsure of my solution, as it gives me an answer but I feel that my bounds aren't selected properly.
Roots: -√2 to √2
V=∏-√2 ∫√2[(x-1)2-(-1)2]dx
I get an answer of 21.91 u3, but as I'm working in the negative y I feel like the y upper and y lower I've selected aren't correct as the parabola is not above the line. Should I integrate in terms of x instead?