Chapter 9, Problem 8P

An area in the x -y plane is bounded by the curve $y=k{x}^n$ and the line $x=b$, as shown in Fig. P9.8.

(a) Determine the area A by integration with respect to $x$.

(b) Determine the coordinates of the centroid G by integration with respect to $x$.

(e) Evaluate your answer to part (b) for the case $n=1$.