For $p\in (0;\infty)$ find the area of the region bounded by the curves $y^{2}=4px$ and $16py^{2}=5(x-p)^{3}$
Problem
Source: Moldova MO 2007 12th grade day I problem 2
Tags: geometry, algebra proposed, algebra
Source: Moldova MO 2007 12th grade day I problem 2
Tags: geometry, algebra proposed, algebra
For $p\in (0;\infty)$ find the area of the region bounded by the curves $y^{2}=4px$ and $16py^{2}=5(x-p)^{3}$