Find the area between the parabolas y ^2 = 9x and x ^ 2 = 9y

Round the answer to two decimal places.

i think i know what to do ... solve for the points of intersection by making them equal to each other but i cant do it :S ...

than i take those points and do an indefinite integral and solve

You've got x ^ 2 = 9y => (1/9)x^2=y

Fill that into the other function, giving you

[(1/9)x^2]^2 = 9x

Solve for x to get your intersection points

x^4 / 81 = 9x

x^4 - 729x = 0

x(x-9) (x^2 +9x +81)

what do i do next ?