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Lesson 26: The Definite Integral

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Matthew Leingang
Matthew Leingang

Having explored the area problem for curved regions or regions below graphs of functions, we define the definite integral and state some of its properties. It's defined for functions which are continuous or at worst have finitely many jump or removable discontinuities. It's "linear" with respect to addition and scaling of functions. And it preserves order between functions.

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Section 5.2 The Definite Integral Math 1a Introduction to Calculus April 14, 2008 Announcements Midterm is 58.3% finished ◮ Problem Sessions Sunday, Thursday, 7pm, SC 310 ◮ Office hours Tues 1–3pm, Weds, 2–4pm SC 323 ◮ . . Image: Flickr user Photointerference . . . . . .
Announcements Midterm is 58.3% finished ◮ Problem Sessions Sunday, Thursday, 7pm, SC 310 ◮ Office hours Tues 1–3pm, Weds, 2–4pm SC 323 ◮ . . . . . .
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral
Lesson 26: The Definite Integral

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Lesson 26: The Definite Integral

  • 1. Section 5.2 The Definite Integral Math 1a Introduction to Calculus April 14, 2008 Announcements Midterm is 58.3% finished ◮ Problem Sessions Sunday, Thursday, 7pm, SC 310 ◮ Office hours Tues 1–3pm, Weds, 2–4pm SC 323 ◮ . . Image: Flickr user Photointerference . . . . . .
  • 2. Announcements Midterm is 58.3% finished ◮ Problem Sessions Sunday, Thursday, 7pm, SC 310 ◮ Office hours Tues 1–3pm, Weds, 2–4pm SC 323 ◮ . . . . . .