If you write a=dv/dt Then you can write it as dv=a*dt And take the integral on both sides integral(dv)=integral(a*dt) My question is: What does dv=a*dt mean?? How do I interprete it? What does the individual term dt mean? And what does dv for it self mean? To me it seems like “dv” means, differentiate t with respect to NOTHING. And dv means “Differentiate time with respect to nothing” Can someone help me understand why this trick works and perhaps how to interprete it?