Use the broth of enlightment, since it is their kibble. If you use a broth of enlightment a a balm it I a insta tame, since authors take forever to eat. You can find the recipe on google or something, be warned, it is EXPENSIVE.
Equip good ghillie equipment, use some bug repellant, this will make the Arthropluera not sense you easier. Crouch down and slowly walk up behind it. With rotted meat on your last hotbar box, feed it until it’s tamed!
In order to tame an arthropluera you might want some bug repellent on you and some spoiled meat if you don’t know how to make the blue soup stuff, equip some gillie armour and find it than just feed it
Easiest and safest way to tame this is to lure it under water. They stop aggro and you can tame as you please. Just make sure you come up for air every once in a while. Also be sure the water is deep enough.