Is solving this possible with Calc 2?

[hddd123456789]

Hi,

I'm teaching my self Calc 2 at the moment and made an equation that I want to integrate:

[itex]\frac{1}{x*\phi^{1-cos(2*\pi*x)}}[/itex] (phi is just a really large constant)

I'm not asking anyone to do it for me, but am curious if this is something I can even hope to be able to integrate with just Calc 2 in my tool set. I'm curious because I tried wolframalpha but it returned:

(no result found in terms of standard mathematical functions)

Should I be scared of this? :)

 

[R136a1]

There is no solution in terms of elementary mathematical functions. So you won't find an explicit answer.

 

[hddd123456789]

Got it. I looked up nonelementary integrals, is it safe to say that the solution will likely involve an integral inside a function?