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Math Help - volume of solid of revolution

  1. #1
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    volume of solid of revolution

    consider B>1.

    compute the volume of revolution given the curve y=\sqrt xe^{-x^2} between y=\sqrt Be^{-B^2} and y=e^{-1} revolving the x axis.

    don't know how to set up the integral.

    thanks for the help.
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  2. #2
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    Quote Originally Posted by palpyko View Post
    consider B>1.

    compute the volume of revolution given the curve y=\sqrt xe^{-x^2} between y=\sqrt Be^{-B^2} and y=e^{-1} revolving the x axis.

    don't know how to set up the integral.

    thanks for the help.
    The volume of a solid which is produced by revolution of the curve y = f(x) about the x-axis is calculated by

    V = \pi \int y^2 dx

    From y=e^{-1} you know that x = 1 and

    from y=\sqrt Be^{-B^2} you know that x = B > 1

    Use the formula given above to calculate the volume. Use integration by substitution.
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