(See Solution) R is the region that lies between the curve y=(1)/(x^2+4 x+5) and the x -axis from x=-3 to x=-1. Find: the area of R, the volume of the solid


Question: \(\mathrm{R}\) is the region that lies between the curve \(y=\frac{1}{x^{2}+4 x+5}\) and the \(x\) -axis from \(x=-3\) to \(x=-1\). Find:

  1. the area of \(\mathrm{R}\),
  2. the volume of the solid generated by revolving \(R\) around the \(y\) -axis.
  3. the volume of the solid generated by revolving \(\mathrm{R}\) round the \(x\) -axis.

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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document

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