題組內容

1.(10%) The region enclosed by the curves $y = x^3$ and $y = \sqrt{x}$ is rotated about $x = -1$. Let $S$ denotes the volume of the resulting solid. Write the integral required to compute $S$ (no need to evaluate)

(a) with \( y \) as the variable of the integration, i.e write \( S = \int_{1}^{1} \dots dy \) (5%)