Compute the following triple integral A = N zdxdydz over solid region N, created by the intersection of two infinite triangular prisms P₁ and P₂, i.e. two infinite cylinders with triangle cross-sections, defined by two system of inequalities as the following P₁ = |yz≤1 -∞<y<+∞ P2 \-00 < y <+00] Hint: Rewrite the triple integral as a sequence of iterated integrals, where is the horizontal cross-section of N at the level z. A = f(ff, zdxdy)dz