Question

halp pls <3
https://gyazo.com/424fb0ca5928b599fb56e6c9b20c786b

Answer 1

this is realted to bessels which i do not understnad a.

Answer 2

Integrable with horrifying results. Don't ask me how to integrate it.

http://www.wolframalpha.com/input/?i=Integrate [x^%2810%2F3%29BesselJ[1%2F3%2Cx]%2Cx]

Answer 3

Or type:
Integrate[x^(10/3)BesselJ[1/3,x],x]
into WolframAlpha.