I would like to approximate L using both composite Trapezoid rule & composite Simpson rule (using 4 panels)

A sheet of corrugated roong is constructed by pressing a at sheet of alu minium into one whose cross section has the form of a sine wave. A corrugated sheet 4ft (48 inches) long is needed, the height of each wave is 1 in. from the center line, and each wave has a period of approximately 271' in. The problem of nding the length of the initial at sheet is one of determining the length of the curve given by f(:r) = sins: from :13 = O in. to :1: = 48 in. From calculus, we know that this length is L: A481/1+(f'(:r))2dm= fwd so the problem reduces to evaluating this integral