Solving problems in Kinematics with simple calculus

Hi,

I have a generic question about solving kinematic problems using simple calculus. For eg.
A variable force F = bv (v is instantaneous speed at some time t) acts on a vehicle moving with speed v. Suppose the initial speed at t = 0 of the vehicle is v0. Calculate the distance through which it moves before stopping.
By work energy theorem, (1/2) m (V₀)² = ∫ F. ds
Now how do we integrate the right side and move forward? That's my main question. Any help is appreciated

Thanks
Sanjay