- #1

- 71

- 0

## Homework Statement

In a West Texas school district the school

year began on August 1 and lasted until May

31. On August 1 a Soft Drink company in-

stalled soda machines in the school cafeteria.

It found that after t months the machines

generated income at a rate of

f(t) =

500t/ (5t^2 + 2)

dollars per month. Find the total income,

$Tsec, produced during the second semester

beginning on January 1.

## Homework Equations

I know to find the income we first have to find the integral for the function t. I did this and got 50 ln [5x^2 +2].

I set u = 5t^2 +2, so du = 10t dt

## The Attempt at a Solution

I used 6 as my upper limit and 1 as my lower limit but I can't get the right answer. Can someone please tell me what is the right limit of integration to use in this case?

Thank you so much for your help!