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Thread: Power Series Representation of Improper Integral

  1. June 4th 2009, 07:24 PM #1
    Zocken
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    Power Series Representation of Improper Integral

    Find a power series representation for the improper integral:

    \int^{x}_{0}\frac{1-cost}{t^2}dt

    Almost done with my difficult homework but have no clue where to start here...thanks!
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  2. June 4th 2009, 09:09 PM #2
    pickslides
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    cos(t) = 1- \frac{t^2}{2!}+\frac{t^4}{4!}-\frac{t^6}{6!}+\cdots

    sub this into the integral & simplfy
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