Locate the centroid (x,y) of the uniform rod. Evaluate the integrals using a num

Question

Locate the centroid (x,y) of the uniform rod. Evaluate the integrals using a numerical method. The sleder rod intercepts the y-axis at "a" and intercepts the x-axis at "a/2" .. i dont have a picture but it looks like a upside down "U" that intecepts the two axis as i mentioned before. also the problem onl considers the rod that is in the first quadrant. Last but not least, the rod's equation is y=(a)cos(pi/2)(x).. i know that the x component of the centroid is 0.299a but i dont understand how they get it? Any help? it is problem 9-5 in the 13th edition of Hibbelers statics book

Explanation / Answer

Area=A=integration(F(x)dx) from x=0 to x=a/2 ; x component of centroid=1/A * integration(x*F(x)dx) from x=0 to x=a/2 ;; y component=1/A *1/2 *integration[(F(x))^2 dx] from x=0 to x=a/2 ;

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