Knaph

Integrals

The accumulated total of a quantity - the area under a curve - found as a limit of sums of thin slices.

Depth 1 · Foundation

You can read an integral as an area and compute simple ones as a limit of sums.

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Depths of understanding

  1. 1

    Foundation

    You can read an integral as an area and compute simple ones as a limit of sums.

    Opens after

    Limits
  2. 2

    Deeper

    You see integration and differentiation as inverse operations - the Fundamental Theorem of Calculus.

Your path here

What's still between you and Integrals, depth 1, in the order you can learn it.

  1. 1CountingDepth 1 · Foundation · Number Systems
  2. 2Natural numbersDepth 1 · Foundation · Number Systems
  3. 3ZeroDepth 1 · Foundation · Number Systems
  4. 4The number lineDepth 1 · Foundation · Number Systems
  5. 5AdditionDepth 1 · Foundation · Arithmetic
  6. 6MultiplicationDepth 1 · Foundation · Arithmetic
  7. 7NumeralsDepth 1 · Foundation · Number Systems
  8. 8Place valueDepth 1 · Foundation · Number Systems
  9. 9Comparing numbersDepth 1 · Foundation · Number Systems
  10. 10IntegersDepth 1 · Foundation · Number Systems
  11. 11SubtractionDepth 1 · Foundation · Arithmetic
  12. 12DivisionDepth 1 · Foundation · Arithmetic
  13. 13FractionsDepth 1 · Foundation · Fractions
  14. 14Rational numbersDepth 1 · Foundation · Number Systems
  15. 15VariablesDepth 1 · Foundation · Algebra
  16. 16FunctionsDepth 1 · Foundation · Algebra
  17. 17SequencesDepth 1 · Foundation · Calculus
  18. 18LimitsDepth 1 · Foundation · Calculus
  19. 19IntegralsDepth 1 · Foundation · Calculus

Where it fits

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