What is the center of gravity for a quarter parabolic elips?

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I could not find anywhere the center of gravity for half of the parabolic elips area (shown in figure) which formula is x^n+y^n=1, starting from a x,y value. I need parametric answer but if not possible, n might be assumed as 4 and x,y(0.4,0.4) as shown in figure. figure

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