[b]Lucifer's 2nd Rule[/b]: The antiderivative of [code]x^n[/code] is [code]1/(n+1)x^(n+1)+c[/code], or in mathematical notation:[br][br][math]\int x^ndx=\frac{1}{n+1}x^{n+1}+c[/math][br][br]This is the opposite of the [url=https://www.geogebra.org/m/x39ys4d7#material/rhupsdff]Monkey Rule 1[/url]. There isn't a whole lot of intuition behind this rule aside from the fact that if you differentiate [code]F(x)=[/code]1/(n+1)x^(n+1)+c with the Monkey Rules, you end up with [code]f(x)=x^n[/code].
Quick Check: Calculate [br][br][math]\int x^5dx[/math]