Chapter 8 • Class 12 Mathematics
Application of Integrals
Class 12 Application of Integrals — area under a curve, area between two curves, standard regions. Solved examples and MCQ tests for CBSE and ISC.
Study by topic — one focused page each
1
Area Under a Curve
The definite integral measures a signed area between a curve and a coordinate axis. For a curve that lies above the -axis on , the area trapped betwee…
Start this topic → 2Area Between Two Curves
The area enclosed between two curves (the upper curve) and (the lower curve) over is the integral of the vertical gap between them: Each vertical stri…
Start this topic →Chapter-wide tests
Online Test
10 MCQ • 20 min
IMO / Olympiad Practice
Olympiad level • 20 min
📝 Full Chapter Test (Download & Print)
35 marks • 75 min • with answer key