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

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SUMMARY

The discussion centers on finding an integral equation for the expression Integral 2 * Cos(a*x) * Cos(b/x) dx. Participants suggest that while Mathematica can solve individual components, it struggles with the entire equation. A proposed method involves rewriting the expression as cos(a*x + b/x) + cos(a*x - b/x) and potentially expanding it in powers of x. This approach may lead to a more manageable form for integration.

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CAP71
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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
 
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Welcome to PF!

CAP71 said:
Integral 2 * Cos( a*x) *Cos(b/x) dx

Hi CAP71! Welcome to PF! :smile:

(have an integral: ∫ :wink:)

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. :blushing:
 
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.
 

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