**A manufacturer of corrugated metal roofing wants to produce panels that are 28 inches wide and 2 inches thick by processing flat sheets of metal. The profile of the roofing takes the shape of a sine wave with equation y = sin(πx/7). Find an integral (but do not evaluate it) that represents the width of the flat metal sheet needed to make a 28-inch panel.**

**Answer:**

Thus, width of the metal sheet that when corrugated will produce a panel that is 28-inch wide is given with following integral: