SOLUTION: what is the average value of the function f(x)= t sin (t^2) on the interval [0,10]

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Question 652556: what is the average value of the function f(x)= t sin (t^2) on the interval [0,10]
Answer by Edwin McCravy(20062) About Me  (Show Source):
You can put this solution on YOUR website!
%28int%28t%2Asin%28t%5E2%29%2Cdt%2C0%2C10%29%29%2F%2810-0%29 =

%28int%28sin%28t%5E2%29%2At%2Cdt%2C0%2C10%29%29%2F10 =

%28red%281%2F2%29int%28sin%28t%5E2%29%2A%28red%282%29t%29%2Cdt%2C0%2C10%29%29%2F10 =

%281%2F10%29%281%2F2%29int%28sin%28t%5E2%29%2A%282t%29%2Cdt%2C0%2C10%29%29 =

%281%2F20%29int%28sin%28t%5E2%29%2A%282t%29%2Cdt%2C0%2C10%29%29 =

 =  %281%2F20%29%28-cos%2810%5E2%29%29-%28-1%2F20%29cos%280%5E2%29 = %28-1%2F20%29cos%28100%29%2B%281%2F20%29%281%29 = .0068840564

Edwin