Consider the function y = f ( x ) = x − 3 2 − 1 {\displaystyle y=f(x)=x^{-{\frac {3}{2}}}-1} .
(b) Calculate the volume of the solid of revolution, V {\displaystyle V} , obtained by rotating the above area (shaded area in figure) around the y {\displaystyle y} -axis or show that it does not exist.