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June 7th, 2014, 06:10 AM   #1
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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.
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November 4th, 2016, 12:57 AM   #2
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$\displaystyle \int_0^4 \!\frac{100t}{t^2 + 1}dt$
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November 4th, 2016, 03:46 AM   #3
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"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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