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Math Help - integral of region

  1. #1
    Newbie
    Joined
    Dec 2008
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    Unhappy integral of region

    Q1 - Find the volume of the solids generated by revolving the regions bounded by the lines and curves about x-axis

    y=√cosx where 0 ≤ x ≤ π/2 and y=0 , x=0


    Q2 - Evaluate the integral


    \int_0^1e^-√x/√x dx


    Thanx in adavnce...
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  2. #2
    MHF Contributor
    Joined
    Nov 2008
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    France
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    1,458
    Hi

    Q1 - The volume of a revolution solid around x-axis with a boundary given by y=f(x) is

    V = \pi \int_{x_0}^{x_1} f^2(x)\: dx

    V = \pi \int_{0}^{\frac{\pi}{2}} cos(x) \:dx


    Q2 - Use u = \sqrt{x}

    du = \frac{dx}{2 \sqrt{x}}
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