# quick integration question

by dowjonez
Tags: integration
 P: 22 Doing a friction fluid denisty question and have to figure out why it cant be done. d(1-v) / (1-v) = dt would integrate to ln |1-v| = t + c now im faced with the same integration but the function has changed and now im staring a d(1-v) / (1 - v^4) = dt is it possible to integrate that?
 Sci Advisor HW Helper P: 3,149 Yes. First, write $1-v^4$ as $(1-v^2)((1+v^2)$ then do a partial fraction decomposition. Also, rewrite d(1-v) as -dv and you should end up with something like $-\frac {1}{2} \tan^{-1}v - \frac {1}{4}\frac{\ln v -1}{\ln v + 1}$

 Related Discussions Calculus & Beyond Homework 1 Calculus & Beyond Homework 5 Calculus & Beyond Homework 4 Calculus 2 Introductory Physics Homework 3