Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 8, 10, ['699', '7067', '8685', '9445', '7297', 'D', 'x', 'J', 'J', '5801', '55', '3193', '2855', 'P', 'G', 'X', 'Z', '9749']

5801