P.o.t.W. #9
■ No GDC ■ for SL and HL students Consider a parabola with equation \(y = a{x^2} such that \(a > 0 . Such a parabola is intersected by a line at two distinct points having coordinates \(\left( {b,a{b^2}} \right) and \(\left( {c,a{c^2}} \right) where \(b < c as shown in the figure below. Show that the area bounded by the parabola and the line, a parabolic segment (shaded region), is equal to...