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 June 7th, 2014, 06:10 AM #1 Newbie   Joined: Apr 2014 From: forsure Posts: 2 Thanks: 0 infection rate The rate of infection of a disease (in people per month) is given by the function I'(t) = 100t / (t^2 +1) where t is the time in months since the disease broke out. Find the total number of infected people over the first four months of the disease. Last edited by skipjack; November 4th, 2016 at 12:58 AM.
 November 4th, 2016, 12:57 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,835 Thanks: 2162 $\displaystyle \int_0^4 \!\frac{100t}{t^2 + 1}dt$
 November 4th, 2016, 03:46 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 "people per month" times "months"= people. Of course, since the "people per month" is a continuous function, that "product" is actually an integral as skipjack gives.

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