求曲线$\begin{cases}y = \sin t\\x = t^{2}\end{cases}$（$t$为参数）在$t = \dfrac{\pi}{3}$对应点处的切线方程.

设$f(x)=\begin{cases}x, -1\leq x\leq 0\\x^{2}, 0< x\leq 1\end{cases}$，求定积分$\int_{-1}^{1}f(x)dx$.

设曲线$x = \sqrt{y + 1}$，直线$y = 0$，$x = 2$围成一平面图形$A$，求该平面图形绕$y$轴旋转一周所得旋转体的体积$V$.