Evaluate the double integral $\displaystyle \int_{}$ $\displaystyle \int_{{R}}{\left(-{3}{x}{y}^{{2}}+{4}{x}{y}\right)}{d}{A}$ 

where R = {(x,y)| 0 ≤ x ≤ 3, 0 ≤ y ≤ 1}

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

 $\displaystyle {A}{n}{s}{w}{e}{r}=$ Preview Question 6  

Round your answer to four decimal places.