The curve \"\"  and x from 0 to 1.

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

\"\".

\

 

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

Therefore, centroid

\

 

\