FRQ #1 from 2008 is an area and volume question. In part b the region whose area is asked for is totally below the x-axis. I know with "accumulation" type problems it is typical to consider "area" below the x-axis as negative. In cases where the area between two curves is being found must it always be given as a positive value? The answer key includes the integral of the upper function minus the lower function. Would it be correct to tell my students that in area problems of this sort the area value should always be stated as a positive even if below the x-axis?
-- Mrs. Kristin Visser Chicago Christian High School Physics, Honors Physics, and AP Calculus Teacher Cross Country and Track Coach