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6:27 AM
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A: Calculus (integration [multiplication])

lab bhattacharjeeHINT: $$\sqrt{e^x+1}=u\implies e^x+1=u^2$$

 
Hello
Hello
U-Sub?‏‏‏‏‏‏‏‏‏
 
lab bhattacharjee
lab bhattacharjee
@Hello, Yes, any confusion?
 
Hello
Hello
I get to $2\sqrt{e^x+1}$. Now what?
 
lab bhattacharjee
lab bhattacharjee
@Hello, $\int e^{2x} \sqrt{e^x+1}dx=\int(u^2-1)u\ 2udu$
 
Hello
Hello
How do you do that?
 
lab bhattacharjee
lab bhattacharjee
6:27 AM
@Hello, $$e^x-1=u^2\implies e^xdx=2u\ du, e^x=u^2-1$$
 
Hello
Hello
Hi
 
lab bhattacharjee
lab bhattacharjee
hello
 
Hello
Hello
I'm still confused what to do from 2√e^x+1
 
lab bhattacharjee
lab bhattacharjee
We have sqrt(e^x+1) =u, right?
 
Hello
Hello
yes
i did usub and ended up with 2√u
 
lab bhattacharjee
lab bhattacharjee
6:35 AM
Why sqrt?
 
Hello
Hello
wait
i didnt have the sqrt with u
i was taught not to include them
so i got 2√u
@labbhattacharjee
 
lab bhattacharjee
lab bhattacharjee
no
 
Hello
Hello
no what
 
lab bhattacharjee
lab bhattacharjee
I don't understand u
 
Hello
Hello
how so
 
lab bhattacharjee
lab bhattacharjee
6:41 AM
Repalce sqrt(x^2+1)=u, e^x=u^2-1, e^xdx=2u du
 
Hello
Hello
what level of math would you say this question is for?
 
lab bhattacharjee
lab bhattacharjee
indefinite integral
elementary
 
Hello
Hello
precalc?
 
lab bhattacharjee
lab bhattacharjee
not pre
 
Hello
Hello
i just finished precalc and this question is part of my summer assignment
 
lab bhattacharjee
lab bhattacharjee
6:46 AM
not sure
 
Hello
Hello
about what
 
lab bhattacharjee
lab bhattacharjee
the syllabus
 
Hello
Hello
ah. whatever that isn't important
but how can i do it without the sqrt for u
@labbhattacharjee
@labbhattacharjee
@labbhattacharjee
@labbhattacharjee
@labbhattacharjee
@labbhattacharjee
@labbhattacharjee
 
lab bhattacharjee
lab bhattacharjee
7:55 AM
Why don't u the steps I mentioned
 
Hello
Hello
i got the answer. lol thanks
 

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