MathDB

Area of region bounded by two curves

Source: Moldova MO 2007 12th grade day I problem 2

March 3, 2007

geometryalgebra proposedalgebra

Problem Statement

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}