Class 12 · Mathematics (041)
Unit 8 · Class 12Mathematics (041)
Calculus

Applications of Integrals

Area under simple curves, area between two curves.

Lessons
2 concepts
  1. 1
    Area Under a Curve
    Area between y=f(x)y = f(x), x-axis, from x=ax = a to x=bx = b: ∫abf(x) dx\int_a^b f(x)\, dx (if f≥0f \ge 0).
  2. 2
    Area Between Curves
    Between y=f(x)y = f(x) and y=g(x)y = g(x): ∫ab∣f(x)−g(x)∣ dx\int_a^b |f(x) - g(x)|\, dx.
Skills to practise
Practice bank for this unit is in progress. You can still read the lessons above.
Gyaan Maths — CBSE Class 6-12, built for board-toppers.
v1.1 · Sept 2026