If R is the region 0 ≤ x ≤ y ≤ L, then
\(\mathop \int\!\!\!\int \limits_R \left( {{x^2} + {y^2}} \right)dx\;dy\) is
1
\(\frac{{{L^2}}}{2}\)
2
\(\frac{{{L^4}}}{3}\)
3
\(\frac{{{L^4}}}{2}\)
4
\(\frac{{{L^2}}}{3}\)
If R is the region 0 ≤ x ≤ y ≤ L, then
\(\mathop \int\!\!\!\int \limits_R \left( {{x^2} + {y^2}} \right)dx\;dy\) is