I need help with an integral that is too chaotic for my level of undestsanding

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I need to find the integral of this. I was trying to do volumes of revolution across x=2 using the disc method with this equation and came up with the integral below. Help would be much appreciated.

$$ \int \left( \frac{1-(y-2)^2}{3.8^{1.2(y-2)}} \right)^{1/2.8} \, dy $$