Calculate the moments mx, my, and the center of mass (x bar, y bar) of a lamina with the given density p=5 and the shape:

M x = 1/2 p ∫ ( f ( x )² - g ( x )² ) d x
f ( x ) = √( 1 - x²),  g ( x ) = - 2

= - 50/3
My = p ∫ x * ( f ( x ) ) dx
My = p ∫ x ( √(1+x²)) dx
Substitution: 1 - x² = u,  x dx = - du/2

M x = - 50/3, M y = 0

M ≈ 5 * 6.3 ≈ 31.2  
x = M y / M = 0 / 31.5 = 0
y = M x / M =  -50/3 : 31.5 ≈ - 0.529
The center of mass is ( 0, -0.529 )

Yes i also think it is b