Evaluate the integral as infinit series.

[rcmango]

Homework Statement

Evaluate the indefinite integral as an infinite series.

here is the problem: http://aycu28.webshots.com/image/38987/2005883203189533192_rs.jpg

Homework Equations

The Attempt at a Solution

not sure what test to use. My first guess would be to use the integral test from 1 to infinity? i know derivative of e^x is e^x. I may have to do this by parts.

Thanks.

 

[NateTG]

You could expand the inside of the integral into a Taylor/McLaurin series, and then integrate that term-by-term.