Integral Equation: Solve & Find Laplace Transform

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[tex]\frac{1}{\pi}\int^{\pi}_{0}cos(n\theta - xsin\theta)d\theta[/tex]
How can I solve this equation and find Laplace transform?
 
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Use the trig identity for sums of angles. The resulting integrals can probably be related to Bessel functions.
 

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