Could someone helpme? I want to solve: integral((e^sinx)/sinx)dx= ? Thank you!
Last edited by Anaturtle; Dec 18th 2007 at 03:02 PM.
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It's like integrating $\displaystyle \frac{e^x}x.$ There's no elementary primitive.
Thank you. Can you provide the details to solve it? thanks
$\displaystyle e^x = \sum\limits_{k = 0}^\infty {\frac{{x^k }} {{k!}}} \implies \frac{{e^x }} {x} = \sum\limits_{k = 0}^\infty {\frac{{x^{k - 1} }} {{k!}}} .$ You can interchange the integral by the sum, but it's not worth.
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