Find the volume of the solid in $\mathbb{R}^3 $ under paraboloid $\{x_1^2+x_2^2-x_3=0\}$ and above the square $[0,1]^2$.
I want to calculate $\int_{\{x_1^2+x_2^2-x_3 \le 0 \ and \ 0 \le x_1,x_2 \le 1\}}1 dx_1dx_2dx_3$ , but I'm not sure how to split it to 3 integrals...any help?
Calculate: $$ \text{Volume}=\int_0^1 \int_0^1 \int_0^{x_1^2+x_2^2} dx_3 dx_1 dx_2. $$