What is integral ds/dt????????????????????????????????????!!?

the velocity is very nearly equal to the distance s divided by the time t--i.e., s/t. The exact velocity v would be the limit of s/t as t gets closer and closer to zero or, as we say, approaches zero. That is,The quantity ds/dt is called the derivative of s with respect to t, or the rate of change of s with respect to t. It is possible to think of ds and dt as numbers whose ratio ds/dt is equal to v; ds is called the differential of s, and dt the differential of t.