f:[0,1] [tex]\rightarrow[/tex] R is a continous function such that
[tex]\int[/tex]f(t)dt (from 0 to x) = [tex]\int[/tex] f(t)dt( from x to 1) for all x[tex]\in[/tex][0,1] .
integral represents area
The Attempt at a Solution
what ever the function is, I know that the area under the graph from 0 to x is equal to the area under the graph from x to 1.
But how else can I describe f?