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Homework Statement
I have a question can the average value for an integral be negative. I don't see why not just checking.
You know this evalutation f_ave = (1/b-a) ∫ f(x) dx
Homework Equations
thx
That is the average value of the function f on [a,b]. It can of course be negative, and will be if f(x) < 0 for all x in [a,b].Homework Statement
I have a question can the average value for an integral be negative.
You know this evalutation f_ave = (1/b-a) ∫ f(x) dx
If the average value of the function is negative, of course!Homework Statement
I have a question can the average value for an integral be negative. I don't see why not just checking.
More correctly f_ave = (1/(b-a)) ∫ f(x) dx. What you wrote would normally be interpretedYou know this evalutation f_ave = (1/b-a) ∫ f(x) dx
Of course. Take the simplest example: f(x)= -1 for all x.Homework Equations
thxx
The Attempt at a Solution