Is it possible to integrate this?

  • Thread starter Thread starter LinkMage
  • Start date Start date
  • Tags Tags
    Integrate
LinkMage
Messages
18
Reaction score
0
Is it possible to integrate \int {cos (x^2)} dx ?
If so, which method do I have to use?
 
Last edited:
Physics news on Phys.org
Not using elementary functions, no.
 
\!\(\@\(π\/2\)\ FresnelC[\@\(2\/π\)\ x]\)
 
just curious... how would you do it then? is there a way at all?
 
mathmike answered that in a somewhat messy way.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top