# Can you help for this ?

#### 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

#### owlpride

Do you mean

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

???

#### owlpride

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

#### erogol

Hint: Show that f(x) has to be differentiable. Then differentiate both sides of the equation.
So i did it but how can i provide the result by this way

#### erogol

Do you mean

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

???
Yes i mean this integral

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