Write a MATLAB function named areaIntegration that takes multiple input arguments representing different shapes and their coordinates. The function should integrate the areas made up of these shapes using Boolean algebra and return the total integrated area. The function signature should be: function totalArea = areaIntegration(shape1, shape2,...) Where shape1, shape2, etc. are arrays representing different shapes, their scale, operation, and location. Each cell array should contain 5 elements such that: • 1 st Element is the shape identifier where “1” represent a square and “0” present a circle. • 2 nd Element is the scale of the shape. • 3 rd Element is the type of operation where ‘0’ is Union, ‘1’ is Subtract, and ‘2’ is Intersection with the shape of the previous argument. • 4 th and 5th is the location of the shape in Cartesian coordinate (i.e. x and y). Together they form an array like this: [shape identifier, scale, operation type, x-coordinate, y-coordinate]. For example: 1. If the 1st argument is an array [1, 1, 2, 0, 0], it means it is a square with a 1 unit dimension located at (0, 0), intersecting with the existing 2D space. 2. The 2nd argument, an array with the value [0, 2, 0, -1, 1], represents a circle with a 2 unit radius located at (-1, 1) to union with the result left by the 1st argument.
