In calculus, my work has recently involved integrating and differentiating the numer e, of which I am very unsure of how to do. I set up some examples for myself to try to figure out, could anyone tell me if they are correct? Please correct me if I am wrong, or tell me where I have made a mistake.(adsbygoogle = window.adsbygoogle || []).push({});

1) [itex]\int_{}^{} edx = e[/itex] Simple, or it should be. This is how I interpet it from what I have read. The text always makes basics sound confusing to me.

2) [itex]\int_{}^{} e^xdx = e^x[/itex] The same as above because [itex] ln(e) = 1[/itex].

3) [itex]\int_{}^{} e^{2x}dx = \frac{1}{2x+1}e^{2x+1}[/itex] No clue here, to me it looks completely wrong.

4)[itex]\frac{d}{dx} e^{2x} = \frac{1}{2}e^{2x}[/itex] Chain rule applies here, correct? Or is it just [itex]\frac{d}{dx} e^{2x} = e^{2x}[/itex]?

Also, I did a search for another thread that would explain this but did not find one. If one of you reading this could post the link if there is another thread discussing it, or if you know of a really good web page where all of this is explained in a simple, straight-foward way, I would appreciate it very much.

I apologise if this belongs in the homework section, but this is not exactly homework.

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# Integrating and differentiating the number e.

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