Hmm, is there an easy way to evaluate this integral: 2*integral(sqrt[.25-x^2],-y,y). Basically, I want to know how to find the area as depicted by the attached image (untitled) as a function. This goes along with a problem that I am trying to solve. If you know how to do it or something, please spoilerize as I would like to figure it out on my own. I think I have a FORM of an answer but it is really, really ugly. I will also attach the form of the answr that I got, and would like critiquing. You have a 1 inch diameter cylindrical piece of wood of indeterminate length. You have a 1 inch diameter drill bit. You bore into the wood perpendicular to it with the drill bit. What is the volume of the hole create, or the volume of the displaced sawdust (same value). Anyone think my answer is wrong/have a way to simplify it? I am only in AP BC calc and have no idea how to integrate that :X I put it in my calculator, and it says that the answer is 2/3. Anyone have any input?