1. The problem statement, all variables and given/known data Two curves/functions make up one side of a tunnel (the tunnel is symmetrical, so the other side is the same) Function 1: y = 5 + (2/((x-4)^3)) Function 2: y = (x -1)^3 - 5 I need to find the area of the tunnel, so I can find the amount of dirt that needs to be removed, So I need the area of one side of the tunnel cross section. This is what it looks like with both functions. Where they meet at X = 3 and Y = 3, is where they join. http://img203.imageshack.us/img203/9497/04142013image003.jpg [Broken] So The top of the tunnel is Function 1, when F1 meets Function 2, function 2 becomes the side of the tunnel. The tunnel cross section looks like this: http://img703.imageshack.us/img703/8360/tunnela.png [Broken] Remembering this is just the right side of the tunnel, the left side is the same, flipped over the Y axis, to form a full tunnel. 2. Relevant equations I thought it would just be an integral with limits, but the more I thought about it, the less I believed that was correct. I don't really know what equation to use to find the area when the curves only intercept once not twice. Thanks for all your help!!!