Moderate# Compare Double Integrals

MVCALC-UICPSN

Compare the following two integrals and decide which on is bigger:

$$I_1 = \iint_R (x^2-y^2)dA, \qquad I_2=\iint_R \sqrt{x^2-y^2}dA$$

...in which $R$ is the triangle zone with vertices $(0,0)$, $(1,-1)$ and $(1,1)$.