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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