These are just nuisance integrals with coefficients to obscure the problem.

You will probably just need to use trig substitutions to get them.

For the sqrt(9+25x^{2}) you should probably try x= (3/5) tan θ and for sqrt(9-25x^{2}) try either

x=(3/5) sin θ or (3/5) cos θ.

Then you will need to do some manipulations to get them to some recognizable form; the ones with a plus sign under the radical should come to an arctan and the ones with a minus should come to either an arcsin or arccos.

Good luck.