Loop Antenna with Non Uniform Current Vector potential

I have to solve a problem for a circular loop antenna, with non uniform current.
I(Φ)=I(1+sinΦ'+sin(2Φ').

Therefore, when i am solving for vector potential,
i will get some form such as

k=wave number a=radius those prime' angle is source angles

∫sin(Φ')cos(Φ-Φ')exp{jkasinΘcos(Φ-Φ')}dΦ'

∫sin(2Φ')cos(Φ-Φ')exp{jkasinΘcos(Φ-Φ')}dΦ'
∫sin(2Φ')sin(Φ-Φ')exp{jkasinΘcos(Φ-Φ')}dΦ'

etc

May i know how to convert this integrals to bessel functions, as normal integration cant solve these?

Pls help, thanks.:D