So Veigar is an overall great champion to play,he can kill almost every person in a couple of shots even tanks such as volibear with ap resist. He is that good.

I suggest stop playing noob champs such as trynd and garen and play this nugget hes balls of fun.

So you wanna know how to veigar? This seems easy but its not you can be the differance form winning a team fight or losing it.
So how do we make the most of him?

In the first few stages of the game, it is best to play passive till you get your first back item lost chapter
then later after reaching mid game when other laners join the best way to utilise veigar is his e ability use it when they either attack or when you decide to push forward for the stun. then either back off if no engage happens or burst down the opponent. during late game situations, your e in a team fight could be what saves them, a well place e across lane will slow or stun your enemies giving your team the advantage + some burst damage on top.
You will be targeted first in a fight due to you being so strong with a heavy cc ability.

Pros

+Strong
+aoe cc
+strong aoe damage
+unlimited ap
+nice stacking system
+bursty
+1-2 hit squishies

Cons

-Squishy
-imobile
-always first to be targeted
-no escapes
-can be shut down

Basic skill sequance for most fights
[E] [W] [Q][R]
Or
[Q] [E] [W] [Q] [R]

Vs Tanks
[Q] [W] [Q] [W [E] [W] [Q] [R]

Veigar Stun Covers Large area and can stun multiple enemies so most mid laners gank top lane but with Veigar you better go gank bot lane since you have ability to stun them both with a well timed and well placed stun. After all bot offers more kill/assist potential.

Phenomenal Evil Power
Veigar is the greatest Evil to ever strike at the hearts of Runeterra - and he's only getting bigger! Striking an enemy Champion with a spell or scoring a takedown grants Veigar permanently increased Ability Power.

Baleful Strike
Cost: 40/45/50/55/60 Mana
Range: 900
Veigar unleashes a bolt of dark energy that deals magic damage to the first two enemies hit. Units killed by this bolt grant Veigar some ability power permanently.
Unleashes a bolt of dark energy, dealing 70/110/150/190/230 (+60% Ability Power) magic damage to the first two enemies hit.Killing a unit with this also grants Veigar a stack of Phenomenal Evil. Large minions and large monsters grant two.


Dark Matter
Cost: 60/65/70/75/80 Mana
Range: 900
Veigar calls a great mass of dark matter to fall from the sky to the target location, dealing magic damage when it lands.
After 1.2 seconds, dark matter falls from the sky to the target location, dealing 100/150/200/250/300 (+100% Ability Power) magic damage.


Event Horizon
Cost: 70/75/80/85/90 Mana
Range: 725
After a brief delay Veigar twists the edges of space around the target location for 3 seconds, stunning enemies who pass through the perimeter.
After a 0.5 second delay, Veigar twists the edges of space around the target location for 3 seconds, forming a pentagon of walls. Enemies who attempt to pass through the perimeter are stopped and stunned for 1.5/1.75/2/2.25/2.5 seconds.


Primordial Burst
Cost: 100 Mana
Range: 650
Blasts target enemy champion, dealing a large amount of magic damage, increasing based on the target's missing health.
Blasts the target with primal magic to deal 175/250/325 (+75% Ability Power) to 350/500/650 (+150% Ability Power) magic damage, increasing based on the target's missing health.Damage is maximized against enemies below 33% health.