options - Carr-Madan Formula

Really new to financial Maths. I am currently having problems with the Carr-Madan Formula.

$$f(S_T)=f(F_t) + f'(F_t) (S_T - F_t) + \int_0^{F_t} f''(K) (K-S_T)^+ \ d K + \int_{F_t}^{\infty} f''(K) (S_T-K)^+ \ d K$$

I am struggling to understand what it is used for and I can't seem to find any good articles to explain what is going on. I was wondering could someone recommend any readings, given that I quite new to this.