let $f(x)$ be [[Continuous]] on on the [[Closed Interval]] $[a,b]$, and $F(x)$ be the [[Anti-Derivative]] of $f(x)$. $\huge \int_{a}^b f(x)\d{x} = F(b) - F(a) =F(x) \vert_{a}^b $ The [[Fundamental Theorem of Calculus]] describes the nature of [[Derivative|Derivation]] and [[Integration]], and how they are inverses. $\huge \D_{x}^{n} \circ \prescript{}{n}\int f(x) \d x = f(x) $