Class 12 Maths · Chapter 8 · CBSE / NCERT

Application of Integrals

Areas found by adding thin strips. You’ll learn the area under a curve and between a curve and an axis, including circles, ellipses and sine waves.

10 short lessons · about 44 minutes in all

What you’ll learn

  1. 1Area under a curve, one thin strip at a time4 min
  2. 2Area against the y-axis: flat strips4 min
  3. 3Finding where the region starts, stops and crosses4 min
  4. 4When the curve dips below the x-axis5 min
  5. 5A curve that crosses the x-axis5 min
  6. 6Area under a sine or cosine wave4 min
  7. 7Curves with absolute value bars5 min
  8. 8Using symmetry: find a quarter, times 44 min
  9. 9The area of a circle, by integration5 min
  10. 10The area of an ellipse4 min

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Area under a curve, one thin strip at a time · about 4 minutes

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