Chorion Theorems

The Chorion Theorems are a set of three original theorems designed to accurately determine the area under any regular polynomial curve. These theorems were developed in response to the limitations of existing methods, which are often too specific, overly complex, or provide only approximate solutions. After recognizing these gaps in previous approaches, I created the Chorion Theorems to offer a more straightforward, precise, and versatile method. While the integration concept in calculus is the closest existing technique, it sometimes struggles with cases involving sign changes or complex polynomial behavior. I used calculus as the foundational framework for this work but expanded it with additional mathematical principles to enhance its scope and efficiency. The result is a more powerful tool for solving a wider range of problems involving area under curves—especially useful in academic, engineering, and scientific applications