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Math Help - volume of the rotating body rotation curve

  1. #1
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    volume of the rotating body rotation curve

    i big idiot i couldnīt count this task ....Could anyone help me please?

    y = sinx
    x = 0
    x = π around the x axis

    http://www.sdilej.eu/pics/9ee44f5f2f1c9 ... c915dc.jpg

    outcome is 1/2 Π^2
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  2. #2
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    So basically you don't know how to evaluate: \pi\int_0^{\pi}sin^2(x)dx right? You have to use a trig identity.

    integral of sine squared

    So you should obtain \pi\left[\frac{x}{2}-\frac{1}{4}sin(2x)\right]_0^{\pi}=\frac{\pi^2}{2}
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