ProofWiki:Jokes/Sex is Fun

From ProofWiki
Jump to navigation Jump to search

Joke

Let $e^{x / n} = \dfrac \d {\d x} \map f u$.

Then:

\(\displaystyle \sqrt [n] {e^x} =\) \(=\) \(\displaystyle \dfrac \d {\d x} \map f u\)
\(\displaystyle \leadsto \ \ \) \(\displaystyle \paren {\sqrt [n] {e^x} }^n\) \(=\) \(\displaystyle \paren {\dfrac \d {\d x} \map f u}^n\)
\(\displaystyle \leadsto \ \ \) \(\displaystyle e^x\) \(=\) \(\displaystyle \paren {\dfrac \d {\d x} \map f u}^n\)
\(\displaystyle \leadsto \ \ \) \(\displaystyle \int e^x\) \(=\) \(\displaystyle \int \paren {\dfrac \d {\d x} \map f u}^n\)
\(\displaystyle \leadsto \ \ \) \(\displaystyle \int e^x\) \(=\) \(\displaystyle \map f u^n\)

Purists are entitled of course to quibble that the left hand side should really read $\displaystyle \int e^x \rd x$.