The arc length is. Arctangent comes in handy in this situation as the length of the hypotenuse is not needed. Determining the length of an irregular arc segment is also called rectification of a curve.
Hence as the proportion between angle and arc length is constant we can say that.
L intlimits_ab sqrt 1 left frac dy dx right2 dx. For K-12 kids teachers and parents. Taking a limit then gives us the definite integral formula. Math explained in easy language plus puzzles games worksheets and an illustrated dictionary.