Consider the function y = f ( x ) = x − 3 2 − 1 {\displaystyle y=f(x)=x^{-{\frac {3}{2}}}-1} .
(a) Calculate the area, A {\displaystyle A} , bounded by the x {\displaystyle x} -axis, y {\displaystyle y} -axis and y = f ( x ) {\displaystyle y=f(x)} (shaded area in figure) or show that it does not exist