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BEX Calculus Course

BEX Calculus Course. Lesson 4. 1. x. dx. 1. dx. r. r. p. dp. dx. x. Lesson 5: Building Squares. 1. 3. 5. 7. =. 1. + 3. + 5. + 7. + 9. 5x5. =. 5. + 7. + 9. 5x5. -. 2x2. The integral (accumulating a set of changes).

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BEX Calculus Course

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  1. BEX Calculus Course Lesson 4

  2. 1 x dx

  3. 1 dx r r p dp dx x

  4. Lesson 5: Building Squares

  5. 1 3 5 7

  6. = 1 + 3 + 5 + 7 + 9 5x5

  7. = 5 + 7 + 9 5x5 - 2x2 The integral (accumulating a set of changes) Can be found with the anti-derivative[a function where F’(x) = f(x)]

  8. Applying a sequence of changes (f(x))from a to b Getting a function that changes the same way (F(x))and taking the difference Is the same as

  9. x 20 Area = 20x x Area = ½ * 40 * x = 20x 40

  10. Size: 10x10Perimeter: 40Area: 100

  11. 1d Perimeter Change 2d Area Change 1 x x

  12. Pixelation a

  13. …

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