5 Questions
What is the original motivation for the concept of the derivative in Differential Calculus?
Defining tangent lines to the graphs of functions and calculating the slope of such lines.
What is the motivation behind Integral Calculus?
Defining and calculating the area of the region bounded by the graph of functions.
What are functions that could possibly have given G.W. Leibnitz function as a derivative called?
Anti-derivatives (or primitive) of the function.
What is the formula that gives all the anti-derivatives of a function called?
The indefinite integral of the function.
In what type of problems does the process of integration arise?
Many practical and theoretical situations.
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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