Expert: Paul Klarreich - 9/17/2008

Question
how can i solve this improper integral?

integral from 1 to infinite of (cos(x)*cos(x^2))

Answer
Questioner:   Luis K.
Category:  Calculus
 
Question:  how can i solve this improper integral?

integral from 1 to infinite of (cos(x)*cos(x^2))
.................................
Hi, Luis,

First, you must use vocabulary correctly; otherwise you will have no success in math.  You want to:

1. Determine whether this improper integral converges.
2. If it does, compute it.

You 'solve' equations:

{inf  
|    cos x cos(x^2) dx
}1  

Offhand, this looks like one that diverges by oscillation.  Are you sure you entered it correctly?