यदि $$\int_{0}^{1} \frac{1}{\left(5+2 x-2 x^{2}\right)\left(1+e^{(2-4 x)}\right)} d x=\frac{1}{\alpha} \log _{e}\left(\frac{\alpha+1}{\beta}\right), \alpha, \beta > 0$$ है, तो $$\alpha^{4}-\beta^{4}$$ बराबर है: