# Application of Integrals for Class 12

From the previous classes, we are already aware of the various method of integration in maths.  In this article, let us look at the various application of integrals class 12.

## Application of Integrals Class 12 Concepts

Application of Integrals class 12 covers the following concepts:

• Introduction
• Areas and Simple curves
• The area of a region bounded by a curve and a line
• The area between the two curves

From the previous classes, we are already aware of the various method of integration in maths.  In this article, let us look at the various application of integrals class 12 Maths.

One of the major application of integrals is in determining the area under the curves.

Consider a function $y = f(x)$, then the area is given as

$A = \int_{a}^{b} dA = \int_{a}^{b}y.dx = \int_{a}^{b}f(x)dx$

### Application of Integrals Example Problem

Consider the two curves having equation of f(x) and g(x), the area between the region a,b of the two curves is given as-

dA = $[f(x) – g(x)]dx$, and the total area A can be taken as-

$A = \int_{a}^{b}[f(x) – g(x)]dx$