Could someone helpme?

I want to solve:

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

Thank you!

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- Dec 18th 2007, 02:29 PMAnaturtleIntegral
Could someone helpme?

I want to solve:

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

Thank you! - Dec 18th 2007, 02:47 PMKrizalid
It's like integrating $\displaystyle \frac{e^x}x.$

There's no elementary primitive. - Dec 18th 2007, 03:00 PMAnaturtleReply
Thank you. Can you provide the details to solve it?

thanks - Dec 18th 2007, 03:04 PMKrizalid
$\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.