question_answer

If I is the greatest of the definite integrals

\[{{I}_{1}}=\int_{0}^{1}{{{e}^{-x}}{{\cos }^{2}}x\,dx,}\]

\[{{I}_{2}}=\int_{0}^{1}{{{e}^{-{{x}^{2}}}}\cos x\,dx.}\]

\[{{I}_{3}}=\int_{0}^{1}{{{e}^{-{{x}^{2}}}}dx,}\]

\[{{I}_{4}}=\int_{0}^{1}{{{e}^{-{{x}^{2}}/2}}dx,}\] then

A)  \[I={{I}_{1}}\]           

B)  \[I={{I}_{2}}\]

C)  \[I={{I}_{3}}\]           

D)  \[I={{I}_{4}}\]

E)  None of these