Areas of Plane Curves
Areas in Cartesian Co - ordinate :-
Suppose we want to determine the area A1 bounded by the curve y = f(x) , the x - axis an two fixed ordinates x = a and x = b . The function f(x) , is supposed to be single - valued , finite and continuous in the interval (a , b ) .
The process of finding the area , bounded by any defined contour line is called Quadrature , "the term meaning the investigation of the size of a square which shall have the same area as that of the region under consideration" .
Here are the example of some Plain Curves :-
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