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 can't 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!