Problem Finding Integral equation for 2*Cos( a*x) *Cos(b/x)

[CAP71]

Hi

I'm struggling to create an integral equation for

Integral 2 * Cos( a*x) *Cos(b/x) dx

Has anybody seen a potential solution for this. Mathematica online can solve each part individually however it is unable to create the integral for the entire equation.

Thanks

 

[tiny-tim]

Welcome to PF!

Integral 2 * Cos( a*x) *Cos(b/x) dx

Hi CAP71! Welcome to PF!

(have an integral: ∫ )

Apart from writing it cos(a*x + b/x) + cos(a*x - b/x) and then maybe expanding it in powers of x, I don't see anything.

 

[CAP71]

Thankyou Tiny-Tim for your response. I will look further into using the expanding powers method. I didn't think there was going to be a straight foward integral equation however I was trying to be optomistic.