integral - show that

Jan 2008
114
0
If someone could please please help me with this I would be so grateful, I have a final uni exam tomorrow and I'm going to fail (Crying)

Show that \(\displaystyle \int^\infty_0 \frac{cos x}{1 + \mu x} dx = \mu + O(\mu^2) \)

Thanks in advance!
 

Bruno J.

MHF Hall of Honor
Jun 2009
1,266
498
Canada
In your opinion, what method should you use?