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Since i was bored to death in the game and i got a intel ring +6 i made a test to see if the int really make any difference in the burn damage of the fire arrow, so let's to the test.
Method
I went to a luia and i used fire arrow with 1 arek+6 and no buffs at all and i took pics of the 5 hits that the fire arrow cause, then i equipped the intel+6, and i kept the arek equipped so the only thing that changed was the INT of the char, and i used fire arrow again in the same luia, As Jinxy pointed i will show the results without the arek ring and intel ring to see if dex change the burn damage, the result is the follows:
Results
| Damage without Intel | Damage with Intel | Damage without rings |
|---|
 |  |  |
Average: 605 | Average: 618 | Average: 606 |
Conclusion
As you can see w/o the intel the average damage is 605 and with the intel the avarage damage is 618, i did it several times but i took pics only of 1 test and the results were always the same, so doing some maths:
Average extra damage that 7 Int gave: 618 - 605 = 13
Average extra damage for 1 Int: 13 / 7 = 1.86
And as you can see dex don't change the burn damage, only int and level.
So it really proof that 1 int rise around 2 damage in the burn damage of the fire arrow, so add a bit of int as an AoE ranger isn't THAT bad idea since that extra damage will hit every monster in your AoE at the same time, but i don't recommend more than 20~25 int as a ranger.