# Can you help for this ?

1. Mar 7, 2009

### erogol

Find all continuous functions f(x) satisfying
f(x)>1 and f(x) = x +(1 to x integral) $$\int$$ f(t).dt
for all x

2. Mar 7, 2009

### owlpride

Do you mean

$$f(x) = x + \int_{1}^{x} f(t) dt$$

???

3. Mar 7, 2009

### owlpride

Hint: Show that f(x) has to be differentiable. Then differentiate both sides of the equation.

4. Mar 8, 2009

### erogol

So i did it but how can i provide the result by this way

5. Mar 8, 2009

### erogol

Yes i mean this integral

6. Mar 8, 2009