Science:Math Exam Resources/Courses/MATH101/April 2011/Question 03 (b)/Hint 1

The coordinates of the centroid are computed using the formulas

$\displaystyle {{\bar {x}}={\frac {1}{A}}\int _{a}^{b}xf(x)dx}$

and

$\displaystyle {{\bar {y}}={\frac {1}{A}}\int _{a}^{b}{\frac {1}{2}}(f(x))^{2}dx}$

where

$A=\int _{a}^{b}f(x)\,dx$