# Application Of Integrals For Class 12

We are already aware of the various method of integration. Let us now have a look on various application of integrals.

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

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

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

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-

$A = \int_{a}^{b}[f(x) – g(x)]dx$

#### Practise This Question

If A is a square matrix A+AT is symmetric matrix, then
AAT=