Integral Calculus: Introduction and Motivation
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Questions and Answers

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?

<p>The indefinite integral of the function.</p> Signup and view all the answers

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

<p>Many practical and theoretical situations.</p> Signup and view all the answers

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