Fundamental Theorem of Calculus

Derivation is the opposite of integration.

$$f(x)=\frac{d}{dx}\int_a^{x}{f(t)dt}$$ Often used with the chain rule: $$\frac{d}{dx}\int_a^{g(x)}{f(t)dt}=g'(x)\cdot f(g(x))$$

For now I’m assuming this will be clear enough in exercises.