Let the expected number of cells in a culture that have an x percent probability of undergoing cell division during the next hour be denoted by n(x).
(a) Give an integral representing the number of cells that have less than a 60% chance of dividing during the next hour.

(b) Let n(x) = √5x + 1 give the expected number of cells (in millions) with x percent probability of dividing during the next hour. Find the number of cells with a 5 to 10% chance of dividing.