Stuck on intergration

1. Oct 13, 2004

Speags

i have a force acting on and object and i've gotten the question down to when i have to intergrate but i'm stuck on the intergral
$$F=-(f+cv^2)$$
$$m \frac{dv}{dx} \frac {dx}{dt} = -(f+cv^2)$$
f and c are constants
$$mvdv=-(f+cv^2)dx$$
$$\frac{mvdv}{f+cv^2}=-dx$$
now how do i intergrat them from $$v_{o} to 0 and 0 to x$$

2. Oct 13, 2004

maverick280857

This is the kind where the numerator has to be expressed as a constant times the derivative of the denominator. Find the constant and you're through. Simply put, differentiate the denominator and observe the similarity with the numerator.