# So you think you can solve!!

Calculus Level 4

Let $$f(x)$$ be a differentiable function such that $$\displaystyle \dfrac{d}{dx} f(x) = f(x) + \int_0^2 f(x) \, dx$$ and $$f(0) = \dfrac{4-e^2}3$$, find $$f(2)$$.