A record club has found that the marginal profit, Upper P prime
left parenthesis x right parenthesis, in cents, is given by Upper
P prime left parenthesis x right parenthesis equals negative 0.0008
x cubed plus 0.27 x squared plus 55.9 x for x less than or equals
300, where x is the number of members currently enrolled in the
club. Approximate the total profit when 180 members are enrolled by
computing the sum Summation from i equals 1 to...