Numerical evaluation of an integral, higher order method. Uses an adaptive recursive Newton Cotes 8 panel rule. Approximates the integral of F(X) from start to finish to within a relative error of tolerance, or until max_levels is reached during recursion. func is a Function that accepts one parameter, a number, and must return a number.

• Function ↓func - function to approximate the integral of, over the given range
• Number ↓start - start of the integral range to approximate
• Number ↓finish - end of the integral range to approximate
• Number ↓tolerance - relative error tolerance
• Number ↓max_levels - maximum levels of recursion