The definite integral measures area. This course finds areas under and between curves, including circles, parabolas and ellipses.

The course follows the NCERT Class 12 Mathematics chapter Application of Integrals and has 1 lesson. It explains the ideas with worked examples and ends with practice questions and full answers. The numbers in every example and question are our own, so the lessons can be used alongside the textbook exercises.

  1. Areas Under Curves and Between Curves — Area under a curve, areas of circles, parabolas and ellipses, and areas between two curves, with practice.

By the end you will be able to:

  • Find the area under a curve against either axis.
  • Handle curves that cross the axis.
  • Find areas of circles, ellipses and parabolic regions.
  • Find the area between two curves.