Solve the problem.
-The rate of infection of a disease (in people per month) is given by the function $f^{\prime}(t)=\frac{900 t}{t^{2}+1}$, where $t$ is the time in months since the disease broke out. Find the total number of infected people over the first 5 months of the disease.
A) 806
B) 1466
C) 2932
D) 1613

Question

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The Answer of Solve the problem.
-The rate of infection of a disease (in people per month) is given by the function $f^{\prime}(t)=\frac{900 t}{t^{2}+1}$, where $t$ is the time in months since the disease broke out. Find the total number of infected people over the first 5 months of the disease.
A) 806
B) 1466
C) 2932
D) 1613

Solve the Problem f′(t)=900tt2+1f^{\prime}(t)=\frac{900 t}{t^{2}+1}f′(t)=t2+1900t​ , Where ttt Is the Time in Months Since the Disease Broke Out

Solve the Problem $f^{\prime}(t)=\frac{900 t}{t^{2}+1}$ , Where $t$ Is the Time in Months Since the Disease Broke Out