In mathematics differential calculus is a subfield of calculus concerned with the study of the rates at which quantities change. It’s among the two traditional divisions of calculus the other being integral calculus. In this subfield of calculus derivate of a function and their applications is differentiation if f (x)=2x2 then if f _(x)=4x. Thus the integral of 4x is 2x2 i.e. integration is the process of moving from f _(x) to f (x). Integration has its applications on motion where velocity and acceleration and displacement can be obtained from a derivative. [...]
I want a 300-450 words work to show the difference between differential and integral calculus. Include appropriate examples in your work. This must be free of plagiarism!!