Answer
$\int ^{2}_{0}\int ^{2x}_{x2}\left( x^{3}+3y^{2}\right) dydx=\dfrac {1664}{105}\approx 15.84$
Work Step by Step
Using computer as asked in question we get
$\int ^{2}_{0}\int ^{2x}_{x2}\left( x^{3}+3y^{2}\right) dydx=\dfrac {1664}{105}\approx 15.84$