# Math Help - Integral

1. ## Integral

Could someone helpme?

I want to solve:

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

Thank you!

2. It's like integrating $\frac{e^x}x.$

There's no elementary primitive.

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

thanks

4. $e^x = \sum\limits_{k = 0}^\infty {\frac{{x^k }}
{{k!}}} \implies \frac{{e^x }}
{x} = \sum\limits_{k = 0}^\infty {\frac{{x^{k - 1} }}
{{k!}}} .$

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