I am having some difficulty figuring out how to do this integral analytically.(adsbygoogle = window.adsbygoogle || []).push({});

∫r^{1-x}*I_{0}(alpha*r)dr

I have attempted to do integration by parts, but am unable to find any recursion. This would be easy if x was not variable. Also, I have attempted just expanding this term into a Taylor series, but this is not resulting in satisfying results. Any thoughts on how I might approach this one?

tried: u= I_{0}(alpha*r) and dv=r^{1-x}

also tried: dv=r*I_{0}(alpha*r) and u= r^{-x}

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

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

# Need help with this integral!

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