[Steps Shown] R is the region that lies between the curve y=(1)/(x^2+4x+5) and the x-axis from x = -3 to x = -1. Find: the area of R, the volume of the
Question: R is the region that lies between the curve \(y=\frac{1}{{{x}^{2}}+4x+5}\) and the x-axis from x = -3 to x = -1. Find:
- the area of R,
- the volume of the solid generated by revolving R around the y-axis.
- the volume of the solid generated by revolving R round the x=axis.
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