Find the volume of the solid obtained by rotating the region bounded by the graphs of $y=(\frac{1}{10}{x}^{2}1{)}^4,y=0,x=0,$ and $x=2$ around the $y-$axis.

Consider the graph of $y=sinx,0x$ and the region between it and the $x-$axis.

a$.$ Set up an integral that calculates the length of this curve. You do not need to evaluate this integral $($we$\text{'}$ll learn that later in our course$).$

b$.$ Set up an integral that calculates the surface area of the solid obtained by rotating the region around the $x-$axis You do not need to evaluate this integral $($we$\text{'}$ll learn that later in our course$).$

c$.$ Set up an integral that calculates the volume of the solid obtained by rotating the region around the $x-$axis You do not need to evaluate this integral $($we$\text{'}$ll learn that later in our course$).$