Hello,(adsbygoogle = window.adsbygoogle || []).push({});

I am a researcher working on electromagnetic field. when solving the PDE equation, this integral about Bessel funtion arises:

\int_{R1}^{R2} x J_1 (sx) dx

where J_1 is the 1th order Bessel function of first kind, and s is a constant, R1 and R2 is integral interval.

I have not found the solution in any literature, and due to my poor background in applied mathematics, I do not know how to integrate it by myself.

Does anybody know this analytical solution?

Thanks very much in advance!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How to integrate the following Bessel funtion

**Physics Forums | Science Articles, Homework Help, Discussion**