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