IA idea #5 - Area of a parabolic segment
I'm always on the look out for interesting mathematical 'nuggets' that might lead to something suitable for a student Exploration (IA task). Here is a very interesting fact about the area of a parabolic segment for a particular family of parabolas. A region bounded by a parabola and a line intersecting the parabola at two distinct points (secant line) is a parabolic segment. Consider the area of a parabolic segment...