6)(7 points each) Let \( R \) be the region in the first quadrant bounded by \( n=x^{2}\cos x \)(showr shaded below).(a) Write down but DO NOT EVALUATE the definite integral that represents the volume of the solid generated when \( R \) is revolved about the line \( y=1\).(b) Write down but DO NOT EVALUATE the definite integral that represents the volume the solid generated when \( R \) is revolved about the \( y \)-axis. Solve both parts a and b