Evaluate: `intsec^(4setminus3)x\ cos e c^(8setminus3)\ x\ dx`

Explanation

`Let I=int sec ^{4 / 3} x cosec^{8 / 3} x d x`


`Rightarrow I=int cos ^{-4 / 3} x sin ^{-8 / 3} x d x`



`Rightarrow I=int frac{sec ^{4} x}{tan ^{frac{8}{3}} x} d x=int frac{(1+tan ^{2} x)}{tan ^{frac{8}{3}} x} sec ^{2} x d x`


Putting `tan x=t Rightarrow sec ^{2} x d x=d t`

...