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Math Help - Integral

  1. #1
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    Integral

    Could someone helpme?

    I want to solve:

    integral((e^sinx)/sinx)dx= ?

    Thank you!
    Last edited by Anaturtle; December 18th 2007 at 03:02 PM.
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  2. #2
    Math Engineering Student
    Krizalid's Avatar
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    It's like integrating \frac{e^x}x.

    There's no elementary primitive.
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  3. #3
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    Reply

    Thank you. Can you provide the details to solve it?

    thanks
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  4. #4
    Math Engineering Student
    Krizalid's Avatar
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    e^x = \sum\limits_{k = 0}^\infty {\frac{{x^k }}<br />
{{k!}}} \implies \frac{{e^x }}<br />
{x} = \sum\limits_{k = 0}^\infty {\frac{{x^{k - 1} }}<br />
{{k!}}} .

    You can interchange the integral by the sum, but it's not worth.
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