Evaluate the triple integral `\int_0^ \int_0^ \int_(y/2)^(y/2+) f(x,y,z)dxdydz` where $\displaystyle {u}=\frac{{{2}{x}-{y}}}{{2}}$, $\displaystyle {v}=\frac{{y}}{{2}}$ and $\displaystyle {w}=\frac{{z}}{{3}}$ Remember that: $\displaystyle \int_{}$ $\displaystyle \int_{}$ $\displaystyle \int_{{R}}{F}{\left({x},{y},{z}\right)}{d}{V}=$ $\displaystyle \int_{}$ $\displaystyle \int_{}$ $\displaystyle \int_{{G}}{H}{\left({u},{v},{w}\right)}{\left|{J}{\left({u},{v},{w}\right)}\right|}{d}{u}{d}{v}{d}{w}$ $\displaystyle {u}$ lower limit = < $\displaystyle {u}$ upper limit = i $\displaystyle {v}$ lower limit = n $\displaystyle {v}$ upper limit = p $\displaystyle {w}$ lower limit = u $\displaystyle {w}$ upper limit = t $\displaystyle {H}{\left({u},{v},{w}\right)}=$ $\displaystyle {\left|{J}{\left({u},{v},{w}\right)}\right|}=$ t $\displaystyle \int_{}$ $\displaystyle \int_{}$ $\displaystyle \int_{{G}}{H}{\left({u},{v},{w}\right)}{\left|{J}{\left({u},{v},{w}\right)}\right|}{d}{u}{d}{v}{d}{w}=$ y