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Average Value of a Function 
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#1
Dec512, 12:57 AM

P: 31

1. The problem statement, all variables and given/known data
Determine the average value of the following function over the interval [0,6] f(t) = (t^{2}1)e^{0.5t} 2. Relevant equations 1/(ba) ∫ f(x) = {f(x)} 3. The attempt at a solution Substitution? let u = (t^{2}1) du/dt = 2t du/2t = dt 1/(6) ∫ u e^{0.5t} (du/2t) And here, I reach a roadblock. 


#2
Dec512, 01:00 AM

P: 2,944

so to get the average of the function you integrate the function and then divide by the interval length.



#3
Dec512, 01:01 AM

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Thanks
PF Gold
P: 11,726

Try a different technique.



#4
Dec512, 09:49 AM

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PF Gold
P: 7,808

Average Value of a Function



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