posted by Wade Wilson
The number of Internet host computers (computers connected directly to the Internet, for networks, bulletin boards, or online services) has been growing at the rate of f(x) = xe^(0.1x) million per year, where x is the number of years since 1990. Find the total number of Internet host computers added during the years 1990–2010.
I don't know how to start this problem. Do I plug the f(x) inside the graph and do I check the years from 1990-2010 in the table? I assume it would be from 0-20 on the table. Can anyone help me on this? I think that's what might happen, but I am not sure.
sounds like you want
f'(x) = x e^(.01x)
since you say that's the growth rate.
So, the total number of computers for 20 years is the integral from 0 to 20 of f'(x) dx
To do the integral, use integration by parts.