Question: (3) Show if f : [a,b] R is continuous and f^ f(t) dt = 0 for all x = [a, b] then f(x) =

(3) Show if f : [a,b] R is continuous and f^ f(t)

(3) Show if f : [a,b] R is continuous and f^ f(t) dt = 0 for all x = [a, b] then f(x) = 0 everywhere on [a, b]. Provide an example to show this conclusion does not follow if f is not continuous.

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