Question

Anyone have an idea to this question, at first I thought it was a simple definite integral question, but it's not. I've posted a pic of the question!

http://tnypic.net/4a46c.jpg

Answer 1

I did that originally, however the answer is wrong. I have the solution to it but it still doesn't make sense to me. I'll post it now

Answer 2

dv/dt=1/(a+bv) so dt=(a+bv)dv giving by integration t=av+(b/2)v^2+C
but v=0 at t=0 so C=0 therefore t=av+(b/2)v^2

Answer 3

I don't understand how you integrated dt=(a+bv)dv to get t=av+(b/2)v^2 : [ Are you integrating each term one by one?