Resisted Motion (1 Viewer)

[housemouse]

This has nothing to do with resisted motion however, whilst doing a resisted motion question, i got stumped by this integration:

Integrate dv/ (v + v^3) .

I checked the wolfam integrator however, I have no idea how to get such a solution with logs.

 

[kevinthoang]

1/ v (1 + v^2) = 1/v - v/ (1+v^2)

 

[Alkanes]

very fail dude.. that post is 4 years old. LMFAO

 

[fullonoob]

partial fractions:
1 / v(1+v) = [av+b / v^2+1] + [c/ v]
1 = v(av+b) + c(1+v^2)
when v =0, 1
get your terms
equation coefficients of x^2, then simultaneous with previous equation
you then get
c= 1, a= -1, b= 0

 

[sifANDREW]

Compare Coefficients






just noticed fullonoob did it. hope it helps.

 

[cutemouse]

Guys... note:

25 Jun 2006

 

[nat_doc]

Guys... note:

maths is timeless

 

[h3ll h0und]

lol pretty much same solution posted 3 times to a question posted in 2006 haha fail