Lucifer's 2nd Rule
Lucifer's 2nd Rule: The antiderivative of
x^n
is 1/(n+1)x^(n+1)+c
, or in mathematical notation:
This is the opposite of the Monkey Rule 1. There isn't a whole lot of intuition behind this rule aside from the fact that if you differentiate F(x)=
1/(n+1)x^(n+1)+c with the Monkey Rules, you end up with f(x)=x^n
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