
#1
Oct505, 02:19 AM

P: 22

Doing a friction fluid denisty question and have to figure out why it cant be done.
d(1v) / (1v) = dt would integrate to ln 1v = t + c now im faced with the same integration but the function has changed and now im staring a d(1v) / (1  v^4) = dt is it possible to integrate that? 



#2
Oct505, 03:17 AM

Sci Advisor
HW Helper
P: 3,149

Yes. First, write [itex]1v^4[/itex] as [itex](1v^2)((1+v^2)[/itex] then do a partial fraction decomposition. Also, rewrite d(1v) as dv and you should end up with something like
[itex]\frac {1}{2} \tan^{1}v  \frac {1}{4}\frac{\ln v 1}{\ln v + 1}[/itex] 


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