(b) By making ( x ) the last (outermost) variable of integration, evaluate the integral [ J=iiint_{V} x y z^{2} mathrm{~d} V ] for the wedge-shaped locus ( V ) of points that satisfy ( 0 leq x leq 2 ) with ( 1 leq y leq ) ( 1+(x / 2) ) and ( -1 leq z leq 1 ). Confirm your answer by repeating the calculation with the innermost partial integration with respect to ( x ).

The answer is 11/9

(b) By making a the last (outermost) variable of integration, evaluate the integral J = for the wedge-shaped locus V of points that satisfy 0 < x