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Mathematics 16 Online
OpenStudy (anonymous):

what is the integral of vdv

OpenStudy (solomonzelman):

power rule ?

OpenStudy (zzr0ck3r):

\(\int v dv\)?

OpenStudy (anonymous):

yes

OpenStudy (zzr0ck3r):

what do you need to differentiate to get v?

OpenStudy (anonymous):

ye

OpenStudy (zzr0ck3r):

that was a question:)

OpenStudy (solomonzelman):

\[\Large \color{blue}{\int\limits_{ }^{ }\rm v~dv}=\Large \color{blue}{\int\limits_{ }^{ }\rm 1v~dv}= \frac{v^{1+1}}{1+1}=?\]

OpenStudy (anonymous):

\[v ^{2} ?\]

OpenStudy (solomonzelman):

close, try again

OpenStudy (zzr0ck3r):

if you differentiate v^2 you get 2v

OpenStudy (zzr0ck3r):

but in general look at what @SolomonZelman, I was just trying to show you the connection to something you already know how to do

OpenStudy (solomonzelman):

yes, and your answer will be ?

OpenStudy (anonymous):

v2/2 + c?

OpenStudy (zzr0ck3r):

correct

OpenStudy (solomonzelman):

yes

OpenStudy (solomonzelman):

good that you didn't leave out +C

OpenStudy (anonymous):

ok thnks im just refreshng ty

OpenStudy (solomonzelman):

Anytime, I am also a trig student. I've solved some harder integrals but I don't think I got a grip on them so much :)

OpenStudy (zzr0ck3r):

and remember the power rule does not work for x^{-1}, just remember it lnx

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