Minecraft lagging on elitebook 8440p?

I have a Elitebook that my dad gave to me recently as he got a new laptop. I downloaded Minecraft and every time that I play the game lags a lot. The game drops to around 15fps every time I move around but easily reaches 80fps while not moving. The lag does not occur that much in creative mostly in survival. I have turned off fancy settings installed optifine set the render distance to small and used razor game booster to try and help fix the problem. Please help if you know a way to fix this problem.

Specs:

Intel Core i5vPRO M520

Windows 7 32-bit

Intel integrated graphics

4g of 1666mhz ddr3 ram

"Intel integrated graphics ", that is the issue - poor video chipset. Nothing you can do about it, since this is a laptop - not replaceable.

Survival has to update things like monsters, etc., hence more processing power and display by the video. (more changing things in the display)