Calculus continued

now, in differentiation we need to understand what dx,dy etc mean actually..they are called differentials..ie infinitesimally small increments in x,y etc..while programming we can make this as a variable say step_size..

this simple knowledge leads us into integration..

Integration is simply inverse of differentiation..when we integrate we are calculating areas under the curve..

Why do we need to do that?? well, suppose we know that dv(infinitesimally small change in velocity) is related to dt(time change) as dv=f(t)dt ie there is a function which tells us how a small change in time affects velocity we can calculate the relation between velocity and time over an interval as a whole using integration..

now, what does f(t)dt mean?? it s nothing but the area of a rectangle with infinitesimally small width..the smaller the width, better is the approximation for the area