Find the upper and lower bound for  $\displaystyle \int_{}$ $\displaystyle \int_{{R}}{x}{y}^{{3}}+{x}^{{2}}{y}{d}{A}$ where R = {(x,y)|  $\displaystyle {0}\le{x}\le{4}$ $\displaystyle$, $\displaystyle {0}\le{y}\le{3}$ } and 0 <= $\displaystyle {\left({x}{y}^{{3}}+{x}^{{2}}{y}\right)}$ <= $\displaystyle {156}$ 

 

This plot is an example of the function over region R.  The region and function identified in your problem will be slightly different.

Lower Bound = Preview Question 6 Part 1 of 2  

Upper Bound = Preview Question 6 Part 2 of 2