Integral Calculus: Introduction and Motivation

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What is the original motivation for the concept of the derivative in Differential Calculus?

What is the motivation behind Integral Calculus?

What are functions that could possibly have given G.W. Leibnitz function as a derivative called?

What is the formula that gives all the anti-derivatives of a function called?

In what type of problems does the process of integration arise?


Explore the motivation and concepts behind integral calculus, including the problem of defining and calculating tangent lines to graphs of functions. Understand the relationship between integral calculus and derivative calculus.

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