What is difference between differentiators and integrator?

Answer 1

In simple terms, differentiation is the act of finding the rate of change of the gradient/slope of any function while integration is the area under the curve of function with respect to the x axis. Repeated differentiation can also determine if a point is a local maximum or minimum of a function and be used in equations to help explain the motion of objects. Integration, or anti-differentiation, can also be utilised to find the length of a line on a graph, also referred to as a path of a function, the surface area of 3-dimensional graph functions and also volumes of 3-dimensional graph functions. Simply put, differentiation is used to find the rates of change of things, and integration is used to measure lengths, areas and volumes.

Answer 2

Differentiating a function is when you take the derivative, or instantaneous slope, of an equation.

Integrating a function is when you take the integral, or area under the graph, of an equation. It is basically un-deriving an equation.

In other words, integration and differentiation undo each other (like squaring a square root).