Find Integral Bessel function

  • #1
1
0
I am struggling to find the antiderivative of the following function:
[tex]
f(x)=\frac{J_{0}(ax)J_{1}(bx) }{x+x^{4} }
\\
J_{0},{~}J_{1} : Bessel{~}functions{~}of{~}the{~}first{~}kind\\
a, b: constants
\\
F(x)=\int_{}^{} \! f(x) \, dx =?[/tex]
Who can help?
 

Answers and Replies

  • #2
RUber
Homework Helper
1,687
344
I think you should use some principles from complex analysis.
##J_0(0) = 0##, ##J_1(0) = 1##, So This function should be continuous around zero with a point discontinuity.
I would recommend using the residue formula for the roots of (1+ x^3) in the denominator.
 

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