Evaluate the Double Integral $$\iint _ { R } 3 x ^ { 2 } d A$$

Short Answer

Evaluate the double integral $$\iint _ { R } 3 x ^ { 2 } d A$$ , where $R$ is the region bounded by the graphs of $y = ( x - 1 ) ^ { 2 }$ and $y = - x + 3$ .