Let f (x) be a continuous function and satisfy the integral of F (x) = 1 + XF (T) DT / T ^ 2 from 1 to X

Let f (x) be a continuous function and satisfy the integral of F (x) = 1 + XF (T) DT / T ^ 2 from 1 to X

On both sides of X, we are on both sides of X, for x-derivation, f '(x) (f' (x) 8747; f (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (t + F (x) (f (x) - f (x) - f (x) - f (x) (x) (f (x) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T + F (x) / F (x) (x) (f (x) (x) (f (x) - f (x) - f (x) - f (x) (f (x) (f (x) (f (x) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (178; t) (T) (T) (T) (t) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (T) (ා178; + C2

Let f (x) be a continuous function on a closed interval [0,1], and 0

Let g (x) = f (x) - X and G (x) be a continuous function on a closed interval [0,1];
By 0

Let f (x) be a continuous function with period 2. It is proved that G (x) = ∫ (upper x lower 0) [2F (T) -∫ (upper T + 2 lower t) f (s) ds] DT is a periodic function with period 2