14 Integrals and the Natural Log

14 Integrals and the Natural Log - Next Glossary A Quick...

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Next: Glossary: A Quick Guide to the Mathematical Jargon: Up: Doing that Calc Thing Previous: Working with other Bases Integrals and the Natural Log We know, you're expecting us to begin this section by telling you what equals. But that's not really what's important here. If you really must know, it equals , but few professors expect you to remember that (although it can be worked out using integration by parts, a section coming up shortly, and there, it makes a good problem.) No, in this section we would just like to reverse the formula to obtain one of the most famous formulas in all calculus: There are a couple of things to notice here. First, by integrating a function 1/ x that appears to have nothing whatsoever to do with e , wouldn't recognize e if e bit it on the nose, we get the log
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