Differential calculus deals with the study of the rates at which quantities change. It is one of the two principal areas of calculus. Differential calculus are connected by the fundamental theorem of calculus, which states that differentiation is the reverse process to integration.
Would you believe me if I told you that if you walked straight at a wall that you would never actually get to the wall? Integral calculus allows you to mathematically prove this crazy idea. When you think of calculus , think tiny as in infinitesimal. By subdividing the space between you and the wall into ever smaller divisions, you can mathematically establish that there is an infinite number of divisions, and you can never actually get to the wall. The study of integral calculus includes: integrals, anti-derivatives, and approximating the area of curvilinear regions.