Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.(adsbygoogle = window.adsbygoogle || []).push({});

y = x

y = [tex]\sqrt{x}[/tex]

rotate about y = 1

http://img461.imageshack.us/img461/5879/math10sp.jpg [Broken]

=http://img161.imageshack.us/img161/5729/math23gk.th.jpg [Broken]

So, I am integrating with respect to x.

Area = [tex]\int^1_{0}[(f(x))^2-(g(x))^2]dx[/tex]

I can't figure out how to get f(x) and g(x). I would think that they are simply f(x) = x and g(x) = [tex]\sqrt{x}[/tex].

The book gives f(x) = 1 - x and g(x) = 1 - [tex]\sqrt{x}[/tex]

I don't understand how that works.

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# Homework Help: Integral and volume

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