How can I symbolically solve this Bessel function?
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I need to solve the following bessel function:
J1(z)=(1/(2*pi*i))*int(exp(i*z*cos(θ))*cos(θ)),θ,0,2*pi),
where z=a*(x+k), a:real, 0<=k,=1.
Could anyone please guide me? It is the first time I deal with a problem like this and I cannot completely figure out what I should do. I need the solution to be a function of x.
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