most of the time it doesn't work very far. Very quickly you'll need some kind of truncated polynomial development or some Newton to compute a value. Last time I

most of the time it doesn't work very far. Very quickly you'll need some kind of truncated polynomial development or some Newton to compute a value. Last time I hit dead water very quickly, computing the length of a non-trivial curve is only doable in numerical world (that one was funny, because they expressed it as a quite complicated closed form of functions, and those functions had no closed form themselves).