What is the increase in a cattle population between the 4th and 6th years?

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MillerL7
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A population of cattle is increasing at a rate of 200 + 10t per year, where t is measured in years. By how much does the population increase between the 4th and 6th years. What is the total increase?

I tried using integration, and have b=6 and a=4, with interval of 2, but it was wrong. Please help me. Thank you!
 
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[tex]P(t) = \int (200+10t)dt = 200t+ 5t^2[/tex]
[tex]P(6)-P(4)=?[/tex]

If you did that and you got it wrong, i really don't know...
 
thank you! that is correct, I understand that one now