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Unit 6 - Applications of Integration

Unit 6 Videos
  1. Area Between Curves
  2. Area Between Curves (example)
  3. Volume: The Disk Method
  4. Volume: The Disk Method (example)
  5. Volume: The Washer Method
  6. Volume: The Washer Method (example)
  7. Arc Length
  8. Arc Length (example)

Unit 6 Standards
  • APC.15​
    • The student will use integration techniques and appropriate integrals to model physical, biological, and economic situations. The emphasis will be on using the integral of a rate of change to give accumulated change or on using the method of setting up an approximating Riemann sum and representing its limit as a definite integral. Specific applications will include
      • a)​ the area of a region;
      • b) ​the volume of a solid with known cross-section;
      • c)​ the average value of a function; and
      • d)​ the distance traveled by a particle along a line.