How can I quickly integrate 6e^-2t using simple techniques?

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integration---very simple..need help fast!

how to integrate 6e^-2t
 
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Yes, it is very simple. What's confusing you about it, exactly?
 
dont know how to do it..lyke integal of it is 6*-0.5*e^-2t?
 
Looks right...
 
so now suppose i want to put in values for t as 0 and 6..will i get the answer as 2.99?
 
No, not at all.

Edit: No, wait, maybe. I read it wrong. I assume you know how to use a calculator, though...I don't see what you're asking help with anymore.
 
(e^-2t)/-3
 
pinkyjoshi65 said:
so now suppose i want to put in values for t as 0 and 6..will i get the answer as 2.99?

Yes you will get something like 2.99998


(e^-2t)/-3

Huh?
 
aaahhh sorryy its
-3*(e^-2t)
 
  • #10
\int 6e^{-2x}dx=6\int e^{-2x}\frac{d(-2x)}{-2}=-3\int e^{-2x}d(-2x)=-3 e^{-2x}+C
where d(-2x)=-2dx
dx=\frac{d(-2x)}{-2}
 
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