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

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SUMMARY

The increase in a cattle population between the 4th and 6th years is calculated using the integral of the growth rate function, P(t) = ∫(200 + 10t) dt. The correct evaluation of the integral yields P(t) = 200t + 5t². By calculating P(6) - P(4), the total increase in population over the specified interval can be determined accurately.

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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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P(t) = \int (200+10t)dt = 200t+ 5t^2
P(6)-P(4)=?

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

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