question_answer

\[\int{{{\sec }^{4/3}}x.{{\cos }^{8/3}}x\,\,dx}\] is equal to _______.

A)  \[\frac{3}{5}{{\tan }^{-5/3}}x-3{{\tan }^{1/3}}x+C\]

B)  \[-\frac{3}{5}{{\tan }^{-5/3}}x-3{{\tan }^{-1}}x+C\]

C)  \[-\frac{3}{5}{{\tan }^{-5/3}}x+3{{\tan }^{-1/3}}x+C\]

D)  \[-\frac{3}{5}{{\tan }^{-5/3}}x+3{{\tan }^{1/3}}x+C\]

E)  None of these