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Math Help - Integration: calc2

  1. #1
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    Red face Integration: calc2

    Can anyone help me solve: the integral from 5 to infinity of: 7/((n^2)-16)

    If you can just solve the integral that would be great! I can do the limit to infinity from there....I am having a lot of trouble with this one.

    Thank you!!
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  2. #2
    o_O
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    \int_{5}^{\infty} \frac{7}{n^{2} -16} dn = \int_{5}^{\infty} \frac{7}{(n-4)(n+4)} dn

    The trick is to split the expression into partial fractions, i.e.

    \frac{7}{(n-4)(n+4)} = \frac{A}{n-4} + \frac{B}{n + 4}

    Solve for A and B and the integral should be easier to evaluate.
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