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#1 2007-04-25 16:02:39

virtualinsanity
Member
Registered: 2007-03-11
Posts: 38

Improper integral problem

If anyone could explain how the following problem is done, it would be greatly appreciated!

The rate at which people get sick during a flu epidemic is modeled by the function R(t)=1000 * t * e^-0.5t, where R(t) is measured in people per day and t is measured in days since the start of the epidemic.

Use an improper integral to find out how many people get sick altogether.

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#2 2007-04-25 21:43:07

JaneFairfax
Member
Registered: 2007-02-23
Posts: 6,868

Re: Improper integral problem

That’s not too difficult. Just integrate the expression by parts from t = 0 to ∞. The answer I got was 4000.

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