Dear All!

An area, bordered by curves f(x)=x^2 and g(x)=$\displaystyle \sqrt{x}$ we ROTATE aroudn the x axis ad then we have to calculate volume of the geomethrical body we get.

pleaswe, any cute ideas?

many thanks!

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- Feb 2nd 2013, 05:07 AMBoodefinite integral-volume
Dear All!

An area, bordered by curves f(x)=x^2 and g(x)=$\displaystyle \sqrt{x}$ we ROTATE aroudn the x axis ad then we have to calculate volume of the geomethrical body we get.

pleaswe, any cute ideas?

many thanks! - Feb 2nd 2013, 05:21 AMProve ItRe: definite integral-volume
$\displaystyle \displaystyle \begin{align*} V = \int_0^1{\pi \left( \sqrt{x} \right)^2 \, dx } - \int_0^1{ \pi \left( x^2 \right)^2 \, dx } \end{align*}$

- Feb 4th 2013, 06:53 AMBooRe: definite integral-volume
Well, this is still ingenious!!!

Please, how did U get this formula?

Many thanks!!!!