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Math Help - definite integral-volume

  1. #1
    Boo
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    definite integral-volume

    Dear All!
    An area, bordered by curves f(x)=x^2 and g(x)= \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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    Re: definite integral-volume

    \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*}
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    Boo
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    Re: definite integral-volume

    Well, this is still ingenious!!!
    Please, how did U get this formula?
    Many thanks!!!!
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