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

Application Of Integrals For Class 12

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

Application Of Integrals For Class 12

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-

\(A = \int_{a}^{b}[f(x) – g(x)]dx\)

Application Of Integrals For Class 12
Application Of Integrals For Class 12


Practise This Question

If f(x)dx=Ψ(x), then x5f(x3)dx is equal to