Polar Integration Domain part 3

[DrunkApple]

Homework Statement

f(x,y) = ($x^{2}$ + $y^{2}$)^-2
$x^{2}$ + $y^{2}$ ≤ 2
x ≥ 1

Homework Equations

The Attempt at a Solution

-4$\pi$ ≤ θ ≤ 4$\pi$
secθ ≤ r ≤$\sqrt{2}$
are these the correct domain?

 

[JHamm]

The angles should be $\frac{\pi}{4}$ not $4\pi$ but that was probably a typo :) Other than that yupp :)