The area of the region that lies to the right of the y-axis and to the left of the parabola x=6y-y² (the shaded region in the figure) is given by the if (by (6y-y²) dy. (Turn your head clockwise and think of the region as lying below the curve x=6y-y² from y=0 to y = 6.) Find the area of the integral region. 9 x=6y-y² X