question_answer

If \[{{I}_{n}}=\int_{0}^{\pi /4}{{{\tan }^{n}}\theta \,d\,\theta ,}\] then \[{{I}_{8}}+{{I}_{6}}\] equals

A)  \[\frac{1}{4}\]                         

B)  \[\frac{1}{5}\]

C)  \[\frac{1}{6}\]                         

D)  \[\frac{1}{7}\]

E)  None of these