1. 2*x^2 + 4*x + y = 0, y = 2*x Intersections: (x = -3, x = -6), (x = 0, y = 0)

2. y = x^3, y = 4*x^2 Intersections: (x = 0, x = 0), (x = 4, y = 64)

3. y^2 = x, x^2 + 3*y + 4*x + 6 = 0 Area does not exist.

[ Half angle identities and others ]

[ Solids created by rotation ]

[ Areas bounded ]