Find the center of mass of a thin, flat plate covering the region enclosed by a parabola y^2=x and the line x=2y if the density function is S(y)= 1 + y . (Use horizontal strips)

Question

anonymous · Answer

This is the region we want, so let's set up the integral http://www.wolframalpha.com/input/?i=Plot%5B {Sqrt%5Bx%5D%2C%20-Sqrt%5Bx%5D%2C%201%2F2%20x}%2C%20{x%2C%200%2C%205}%5D&t=crmtb01

anonymous · Answer

http://tinyurl.com/3zrnu5r This link is better

anonymous · Answer

Horizontal strip means we are integrating first w.r.t to x

anonymous · Answer

im still confused :(

anonymous · Answer

x goes from y^2 to 2y 
y goes from 0 to 2

anonymous · Answer

What are you confused iwith?

anonymous · Answer

how to solve it not sure how to start it

anonymous · Answer

$$\int _0^1\int _{y^2}^{2y}(1 +y) dxdy$$