Finding the Centroid of a Parabola: Calculating Coordinates for y = 10m

[khutch2212]

The equation y = x2 describes a parabola. Find the x and y coordinates of the centroid of the area bounded by this curve, and the line y = 10m

 

[SteamKing]

OK, show us what you have tried.

 

[khutch2212]

I tried to intergrate from -3.16 to 3.16, b/c if you draw a perpinduclar line down from y=10 it intersects the x-axis at those two values. I integrate the given equation y=x^2, but the number I got was 21, so i do not know if it is correct.

 

[SteamKing]

I think this problem is asking you to determine the centroid of the area below y = 10 m and above y = x^2. Can you calculate the area of the enclosed parabola?