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Math Help - Find Mass of Rod?

  1. #1
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    Find Mass of Rod?

    A rod with constant cross section A and length L lies along the x-axis from x= 0 to x = L.
    The density of the rod depends only on x and is given by rho(x) = e^(2x). Calculate the mass
    of the rod.

    Am I right doig this?


    integral of A*e^(2x) dx = (A*(e^((2)(L)))/2-(e^((2)(0)))/2)
    Last edited by mm391; June 9th 2012 at 01:57 AM.
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  2. #2
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    Re: Find Mass of Rod?

    lots of ((( ))) to sift through, but I do believe you have the right idea ...

    m = A \int_0^L e^{2x} \, dx = \left[\frac{e^{2x}}{2} \right]_0^L = \frac{e^{2L}-1}{2}
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