Calculus

$$\frac{df}{dx}=g\iff f=\int gdx$$

---

Fundamental theorem of calculus

$${\int }_a^{b}f\left(x\right)dx=F\left(b\right)-F\left(a\right)$$

where

$$F^{\text{'}}\left(x\right)=f\left(x\right)$$

---

Differentiation

---

Integration