Chapter 9, Problem 9P

Consider the shaded area under the line $y\left(x\right)$, as illustrated in Fig. P9.9.

1. Find the equation of’ the line $y\left(x\right)$.
2. Determine the area under the line by integration with respect to $x$.
3. Determine the x -coordinate of the centroid by integration with respect to $x$.
4. Determine the y -coordinate of the centroid by integration with respect to $x$.