Thank you all for your helpful responses. I agree, with V>0 always, the integral will be positive and increasing. I was thinking more in terms of V above and below x=0. But, that would only happen if I set the appropriate initial velocity.
This is a really basic calc/physics question.If acceleration is defined as
Acc= Asin(w*t), and I integrate this to get velocity, I get
Vel=(-A/w)*cos(w*t)+C.
If the velocity at t=0 is 0, then C=A/w.
If I then integrate the velocity to get the displacement, I get...