18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

3. The Definite Integral and its Applications

Part A: Definition of the Definite Integral and First Fundamental Theorem

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The definite integral of a function describes the area between the graph of that function and the horizontal axis. The First Fundamental Theorem of Calculus confirms that we can use what we learned about derivatives to quickly calculate this area.

» Session 43: Definite Integrals
» Session 44: Adding Areas of Rectangles
» Session 45: Some Easy Integrals
» Session 46: Riemann Sums
» Session 47: Introduction of the Fundamental Theorem of Calculus
» Session 48: The Fundamental Theorem of Calculus
» Session 49: Applications of the Fundamental Theorem of Calculus
» Session 50: Combining the Fundamental Theorem and the Mean Value Theorem
» Problem Set 6

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Recitation Videos