If $I_1=\displaystyle\int_{0}^{1} e^{-x}\cos^{2}x,dx$; $I_2=\displaystyle\int_{0}^{1} e^{-x^{2}}\cos^{2}x,dx$ and $I_3=\displaystyle\int_{0}^{1} e^{-x^{3}},dx$; then