Go up onto the roof, using a ladder if necessary.
Pour undiluted white vinegar directly on the area of the roof that has been stained by the swamp cooler.
Scrub the stained area with a scrub brush until the stain starts to dissolve. If you are cleaning a flat roof and the stain is large, you can use a long-handled push broom to assist with the stain removal.
Pour additional vinegar onto the stain if needed and continue scrubbing it until it is completely removed from the roof.
Rinse the roof thoroughly with water from a garden hose for approximate five minutes to remove all traces of minerals and white vinegar.