![]() The pair of points in the UV plane can be substituted into r. Both parameters vary over a region, which is called a parameter domain. So, it is clear that the parameterization involves two parameters u and v in it. We can represent a parameterized surface as For the complete process we should have a working concept of a parametrized surface because we already had a concept of a parametrized curve. Consequently, if we want to calculate a surface integral over the surface S then we should parameterize S. The first thing, we should know is that to calculate an integral over Curve C, we should parameterize C. The Surface integral is divided into two types It is a way similar to the line integral. surface integral is used in developing the higher versions of the Fundamental Theorem of Calculus. A surface integral is an integral that can handle the integration of objects at higher dimensions. When we wish to integrate over a surface like a two-dimensional object in space then we need surface integral. The integral helps us to find volumes, displacements & center points as well. Consequently, when the rectangles will become infinitely small, we got the perfect integral area of the shape. ![]() So, if we start making the rectangles, the approximation of the integral area of the irregular shape will become accurate. Suppose we are adding up the area of a vast number of rectangles, it is easy to find the irregular one. Integration helps in validating the rates of change. ![]() The calculus is divided into two sides integral and differentiation. Integral is one of the two sides of calculus.
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