1. The problem statement, all variables and given/known data In a West Texas school district the school year began on August 1 and lasted until May 31. On August 1 a Soft Drink company in- stalled soda machines in the school cafeteria. It found that after t months the machines generated income at a rate of f(t) = 500t/ (5t^2 + 2) dollars per month. Find the total income, $Tsec, produced during the second semester beginning on January 1. 2. Relevant equations I know to find the income we first have to find the integral for the function t. I did this and got 50 ln [5x^2 +2]. I set u = 5t^2 +2, so du = 10t dt 3. The attempt at a solution I used 6 as my upper limit and 1 as my lower limit but I can't get the right answer. Can someone please tell me what is the right limit of integration to use in this case? Thank you so much for your help!