If f (x) is continuous and f (x) = x + (x ^ 2) ∫ (0,1) f (T) DT, find f (x)

If f (x) is continuous and f (x) = x + (x ^ 2) ∫ (0,1) f (T) DT, find f (x)

Two derivatives on both sides, and then solve it as if it were a differential equation