# Thread: How do you integrate 50010/[(x+1)(5000-x)] ?

1. ## How do you integrate 50010/[(x+1)(5000-x)] ?

The integral of 50010/[(x+1)(5000-x)] is the rate at which an infection spreads when an single infected person enters a community of 5000 people. x=infected people, t= days. (x,t), (1,0). How do I integrate 50010/[(x+1)(5000-x)] ?

2. ## Re: How do you integrate 50010/[(x+1)(5000-x)] ?

Originally Posted by NickA28
The integral of 50010/[(x+1)(5000-x)] is the rate at which an infection spreads when an single infected person enters a community of 5000 people. x=infected people, t= days. (x,t), (1,0). How do I integrate 50010/[(x+1)(5000-x)] ?
Try using Partial Fractions.

\displaystyle \begin{align*} \frac{1}{(x + 1)(5000-x)} = \frac{A}{x + 1} + \frac{B}{5000-x} \end{align*}