integration bessel function (simple)

[lavster]

Can someone confirm that \int J_0(ax)xdx=\frac{J_1(ax)x}{a}? I can only find the solution if J(x) but i want J(ax) so what i did above makes logical sense to me but i cant find it anywhere. thanks

[JJacquelin]

That's alright.
Just let x=t/a and dx=dt/a in order to prove it.

[lavster]

excellent - thanks!