The area between the curves $x=y^2$ and $y=x-6$

$($a$)A={\displaystyle \underset{-2}{\overset{3}{}}}{y}^2-y-6dy$

b$)A={\displaystyle \underset{-2}{\overset{3}{}}}y+6-y^{2}dy$

c$)A={\displaystyle \underset{4}{\overset{9}{}}}y+6-y^{2}dy$

d$)A={\displaystyle \underset{4}{\overset{9}{}}}\sqrt[\phantom{2}]{x}-x+6dx$

e$)A={\displaystyle \underset{4}{\overset{9}{}}}x-6-\sqrt[\phantom{2}]{x}dx$