I am beginning to build my first system, but I neglected to think of the thermal paste. I had seen where stock coolers already had the paste on the stock coolers but I am unsure of whether or not an i5-3570k's stock cooler has it already applied. Also, my motherboard is the ASRock Extreme6 with the CPU cover for protection; so do I just install the CPU, close the cover, and put the area of the thermal paste on the cooler onto the cover? Thanks!