E QlLSTEMiBasic-Calculu57Week-l x e a O Q (D File| D:/New%20folder/QZLSTEMiBasic-CalculusWeek-Gpdf {5 g (3 | {g Q o qu +III:elA\\\\Ilvveveleeelzo' / Acliviiyi: ' . - \\ Try to ll the following table using the illustration above: Function Aanerivuttve Area of Shaded Region f0!) = c an 90!) = x l 2 2x 1 z 1 2 2 2151 ( %+ )(x0) /.;r V _- We can see a striking relationship between the a function, This means that the antidifferentiatio investigate haw to approximate the area of a region below the graph of a function and the antiderivatives of the s something to do with computation of areas below curves, We will e general region. Notice that georri as for the area of a region bounded by straight lines, like those above However, it does not provide formulas to compute for the area of a region below the parabola y = 12 Using geometry alone. Even the fon'nula tor the area of a circle A = m2 uses a limiting process. Before. since people only knew how to nd the area at polygons. they tried to cover the area of a circle by inscribing ngons until the error was very small This is called the method of Exhaustion