Is this correct? (+1 medal will be given)
Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by the given curves about the x-axis.
(x - 3) = (y − 7)\(^2\), x = 19
A: \(y = 7\pm \sqrt{(19)-3} = 3 or 11 \), therefore:
\[\huge\int\limits_3^{11} (2 \pi)(y)(3 + (y − 7)^2) dy = \frac{2800 \pi}{3} \]
Graph below:

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I'm doing something wrong here I believe, because the computer is going NO! *slap*

i don't see anything wrong...

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