Learning Paths
Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.
Chapter 12
Application of Integrals
A farmer wants to know how much land lies between a stream and a fence. A builder wants the volume of water in a curved tank. Both questions ask for a total made of many thin pieces, and the integral adds those pieces. This chapter uses the integral to find areas under and between curves, the volume of a solid made by turning a curve, the average value of a function and the distance from a velocity graph. It covers the unit of the Indian syllabus (NCERT, JEE Main) and the matching topics of A-Level, IB and AP. Python checks every area on the computer.
3 courses
