- #1

irresistible

- 15

- 0

## Homework Statement

f:[0,1] [tex]\rightarrow[/tex] R is a continuous 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] .

Describe f.

## Homework Equations

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?