Does the damage of a Bound Bow increase with your conjuration skill, or do I only need to invest enough points to get the spell in the first place? Also, does dual casting a bound weapon result in a more powerful version, or just longer summon times? Additionally, if you dual cast a bound bow, do you get more arrows, or simply more time to fire the same amount? Thank you in advance for any responses.

I'd like to know how to find a bound bow in the first place >_>

dual conjuration increases its time, and for bow im guessing also the arrows, i havent yet gotten the bow, and the higher lvl conjuration = stronger bow with less magika used. its main damage is based off of the actually archery tree perk. as for the first skill which increases bow damage by 20/40/60/80/100% i have no idea if that affects bound bow or not

Ouch. Hadn't even considered that. Guess I have another question! Good to know about the conjuration skill. When I have a couple more skill points to spread around I'll test to see about the arrow amount.

ok lol. how did you even get the bound bow skill?

The easiest one to get is the one in Fort Amol. Despite the description, it isn't in the part of the jail with the jail cells, but rather in the adjacent living area.

http://elderscrolls.wikia.com/wiki/Bound_Bow_%28Skyrim%29

Bound bow unlocks at conj lvl 41 (found at markath keep Calcelmo mage in three different playthroughs after reaching conj lvl 41)
No need to go higher for damage. Equivalent to a glass bow/arrow. The conj perk for extra damage raises dam to daedric lvl I think..
Dam raises with archery skill.
Just remember to conjour the bow at a distance for sneakkills - it's noisy!

Bound weaponry ARE affected by the weapon skill perks. So a bound sword would do more damage if you perk the initial one handed skill for enhanced damage. These weapons absolutely require the perks for damage to be effective or else they are pointless to use. That is a bound sword would need the Mystic Binding perk of conjuration and the 5 sword damage perks to be an effective weapon. Bare in mind though that a normal daedric sword that has been enhanced to "fine" on a workbench will do more damage than a bound sword.

Spells for all schools can be learned at the college in winterhold. IIRC Phinius Ginstor (sp?) is the conjuration mage a the college.

Yeah Phinis at the college starts to offer the bound bow tome at conjuration level 40 or 50 I think.
It might be easier to just power level conjuration to that point and forget about it if all you want is the spell.

The anol-fixated sez: bound bow unlocks at conj lvl 41 at vendors - not before (tested on 3 PT)! Is a glass bow dam lvl (daedric lvl with the conj dam perk), and dam is affected further by archery skill.
:-p

bound weapons scale with conjuration AND the related weapon skills (sword=1h, battleaxe=2h, bow=archery). mystic binding increases the damage.