Applications of Integrals

Topics in Applications of Integrals

Numbered in the order to learn them.

  1. Calculating Areas Between Curves, by Integration

  2. Extension: Approximating Sums by Integrals

  3. Interpreting Limits of Riemann Sums as Integrals

  4. Average Value of a Function

  5. Arc Length of a Curve

  6. Calculating Volumes by Integration

  7. Surface Areas of Surfaces of Revolution

  8. Integration in Probability

  9. Integrating to Find Net or Accumulated Change

  10. Revisiting Average Rates of Change, Using Integrals

  11. Integration in Physics

Type a concept, like “slope” or “photosynthesis”.

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