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anonymous
 one year ago
My Achilles heel...
anonymous
 one year ago
My Achilles heel...

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439212533266:dw

phi
 one year ago
Best ResponseYou've already chosen the best response.1you could write 3 as \( e^{\ln3 } \)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I cant find that in my equation page..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how would u go on from there?

phi
 one year ago
Best ResponseYou've already chosen the best response.1use \[ \left(a^b\right)^c = a^{bc} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ \int 3^x \ dx = \int \left(e^{\ln3}\right)^x \ dx\\ = \int e^{\ln 3 \ x} \ dx \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1which is in the form \[ \int e^{ax} \ dx \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok please continue, Ive had problem with these types, but ur explanation makes it easier.

phi
 one year ago
Best ResponseYou've already chosen the best response.1can you integrate \[ \int e^{ax} \ dx \] ? this is a "standard" integral

phi
 one year ago
Best ResponseYou've already chosen the best response.1what is the derivative of e^x ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have a problem with math, if I dont keep doing it, I fforget it..

phi
 one year ago
Best ResponseYou've already chosen the best response.1this one is worth looking up

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okey, I will go through that chapter again...can u guide me through this one?

phi
 one year ago
Best ResponseYou've already chosen the best response.1\[ \frac{d}{dx} e^{a x}= e^{ax} \frac{d}{dx} ax = a\ e^{ax}\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1your problem is to "undo that" in other words \[ \int e^u \ du \] where u = ax \[ du = a \ dx\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1and \[ \int e^u \ du = e^u \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, I will have to go through this chapter again, I seem to be forgetting..also Im tired, thank you !:)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.1Trick: to find \(\int 3^x dx\), we need find "something" whose derivative = \(3^x\), right? let see, \((3^x)'= 3^x ln 3\) not \(3^x\), but ln3 is a constant, so, we just divide the original one by ln3. I meant \((\dfrac{3^x}{ln3})' = (\dfrac{1}{ln3} *3^x)'= \dfrac{1}{\cancel{ln3}}3^x *\cancel{ln3}=3^x\) hence \(\int 3^x dx = \dfrac{3^x}{ln3}+C\)
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