Just because u have a tight budget doesn't mean u want to restrict yourself forever, right? U can get a pretty cheap card and always upgrade later...
If u get integrated u r stuck. Plus, usually come with lower performance (read "value") systems... So u prolly can buy components separately and get more for the same amount of money.
U might wanna check the Dell outlet for a good puter bargain. They sell some pretty nice configurations, especially if u are willing to wait until what u want is listed and don't buy the first thing u see.
Another thing integrated means... Like an HP Pavillion for example... The power supply unit cannot handle a lot of upgrades (usually rate about 220W). You'd need a 350W or better down the road if u do major upgrades, then maybe better case fans for cooling. And expansion bays are usually more limited, so maybe only space for 2 internal hard drives total.
Good luck, cheers.
I was looking for a computer that can play call of duty and games like that, so do I need to buy a graphics card or stay with intergrated, because i have a tight budget.