Answer
$ \approx 34$
Work Step by Step
Use the formula for average value with a = 0, and b = 2. The average price is: $\frac{1}{2-0}\int^{2}_{0}(x^{2}e^{2x})dx=\frac{1}{2}(\frac{x^{2}e^{2x}}{2}-\frac{xe^{2x}}{2}+\frac{e^{2x}}{4})|^{2}_{0} \approx 34$
