Will this laptop be able to run Minecraft?

This is the laptop I'm talking about, it seems to have everything apart from a good graphics card. I guess they're integrated graphics, but since Minecraft isn't really a game that demands graphics I wondered if it would be okay for running it at high settings? (Full render distance, Fancy graphics etc)

http://www.refurbthat.com/reconditioned-laptops/lenovo-thinkpad-t410-2522-core-i5-m540-2-4ghz-4gb-memory-320gb-hdd-dvd-rw-with-windows-7-professional

Added (1). If I do buy it I will be upgrading the RAM to 8GB and the Hard Drive to 500GB.

Added (2). Okay if that one isn't good enough please check out this one and tell me if it is any better

http://www.refurbthat.com/lenovo-t510-intel-core-i7-2-67ghz-4g-memory-320gb-hdd-dvd-rw-with-windows-7-professional

Added (3). If none of them are good enough can you please see if you can find a good laptop for me? I don't have a lot of money so a price of around £400 or under would be good. As I said, I will be pretty much just playing Minecraft on here.

No. The integrated graphics won't be enough to run Minecraft. It is very low power and low end hardware wise.

Even with the 8GB upgrade, it still won't work. 4GB is just fine for gaming.

EDIT: Unfortunately, still no. The graphics card is what matters.
It's hard finding a laptop that would smoothly run minecraft that is around the $400 range. Computers in that price range are just used for web browsing, checking your emails, watching movies etc. Definitely not for gaming.
Here is the Lenovo Edge E545(20B20011US). It is a little bit over $400 but it has much better graphics than those two and would probably run Minecraft with 30+ FPS.

You can run Minecraft from most PC platforms since it is a Java running game. It does not require a graphics card since onboard graphics is more than enough to play. BUT it is recommended to use a PC or laptop with a graphics card and a 64Bit JAVA for the rendering. I have installed minecraft on a E6500/1GB RAM/80GB HDD pc and it runs fine. Bit slow but playable.

Check this out

https://help.mojang.com/...quirements

I, d like to play it in free triel