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Math Help - Integral Find the area of the region

  1. #1
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    Integral Find the area of the region

    Find the area of the region enclosed by the x-axis and the curve y=x*sin(x) on the interval[0,pi]. Then find the vertical line x=a that divides the region in half.

    So if I take the integral of the function between 0 and pi I get the area enclosed by the x-axis and the curve of y=x*sin(x), right? If this is right, then the vertical line that divides the region in half would be the x value that is 1/2 the value of the integral?

    Is this right, or am I doing it all wrong?


    Thank you
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  2. #2
    Member Abu-Khalil's Avatar
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    Calculate I=\int_0^\pi t\sin t dt and then solve \int_0^xt\sin t dt = \frac{I}{2}
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