Intel Integrated Graphics 4000. i5 Dual Core heavy business computer. But those graphics I'm worried about. Will I be ok?
If you aren't, you can always tone the graphics down - a lot. Inb fact, i personally recommend that just for playability. Some of these effects are nice and all, but blot out the view of the "important" things for example. Shadows... might add to the "feel" but take up some CPU time and are otherwise utterly useless... And so on... Take your own look, don't rely on what people tell you. Work with options and advanced options until you are happy with it.
My previous laptop had a i3-3217u (includes HD4000 integrated graphics card) - https://www.notebookcheck.net/Review-Asus-VivoBook-S200E-Subnotebook.85787.0.html I turned off shadows and most spell effects except what I needed for raids and I found EQ was still very playable. I found http://everquest.fanra.info/wiki/Graphics_and_performance_settings_guide useful for working out how to tweak performance.