Evaluate the integral as infinit series.

1. Feb 1, 2008

rcmango

1. The problem statement, all variables and given/known data

Evaluate the indefinite integral as an infinite series.

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

3. 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.

2. Feb 1, 2008

NateTG

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