(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant 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

3. 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!

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# Homework Help: Integration word problem

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