Numerical Analysis, using SageMath

9) Romberg Integration Write a function to implement the Romberg Method. Your function should accept a symbolic function, an interval, and an error tolerance. The function should return an integral approximation (or an entire table) when the absolute value of the difference between successive diagonal entries is less than the error tolerance. When creating the first column of the Romberg array, use the more efficient method presented in class. (This is mentioned, but not described in the textbook.) Important Note: The Romberg code in the textbook is not correct. Their code uses row where it should use column. This same error is shown analytically higher up on the page where they use i (for the row) when it should be j (for the column). **How do I do this??? 9) Romberg Integration Write a function to implement the Romberg Method. Your function should accept a symbolic function, an interval, and an error tolerance. The function should return an integral approximation (or an entire table) when the absolute value of the difference between successive diagonal entries is less than the error tolerance. When creating the first column of the Romberg array, use the more efficient method presented in class. (This is mentioned, but not described in the textbook.) Important Note: The Romberg code in the textbook is not correct. Their code uses row where it should use column. This same error is shown analytically higher up on the page where they use i (for the row) when it should be j (for the column). **How do I do this