Question

find the area of the region bounded by the equations by integrating

( i ) with respect to x and
(ii) with respect to y

x=36-y^2
x=y-6

Answer 1

1/ find intersect points
2/ take integral

Answer 2

To find the points do I start with \[6-\sqrt{x}=x+6\]?

Answer 3

let them equal, solve for y, you will have y = 6 and y = -7
replace back to get corresponding x = 0 and x = -13
now you have 2 points,
draw the pic

Answer 4

How did you end up with y=6 and y=-7?