Hi, given $\displaystyle \int_{a}^{b}{f(x)dx}=F(b)-F(a)$, I simply wanted to clarify what does $\displaystyle F(a)$ on its own actually tell us? Is it the cumulative signed area

- from $\displaystyle 0$ to $\displaystyle a$ or
- from $\displaystyle -\infty$ to $\displaystyle a$ or
- from arbitrary constant $\displaystyle c$ to $\displaystyle a$ where $\displaystyle c$ varies by choice of $\displaystyle f(x)$ or
- something else?

Thanks