Uses of integration is its applications. We use integration to find the area uner a curve , area between the curves and area enclosed by loop etc. We can prove that area of cicle = pr^2
Methods of integration are used to find the cuved surface. Ex We can prove that the area of sherical suface = 4pir^2.
The volime of revolution of certain curves could be solved by ingration.
In Physics the centroid or centre of mass of various objects are determined by the methods of integration. Applicatios are in physics, Dynamics, Statics, Astronomy and in Engineering sciences.