Evaluate the following integrals :
`(i) int tan^(-5)x sec^(6)xdx` `(ii) intcosec^(8)xcot^(3)xdx`

Explanation

To evaluate the integrals given in the question, we will solve them step by step.

### (i) Evaluate \( \int \tan^{-5} x \sec^{6} x \, dx \)

**Step 1: Rewrite the integral**
We start with the integral:
\[
I = \int \tan^{-5} x \sec^{6} x \, dx = \int \frac{\sec^{6} x}{\tan^{5} x} \, dx
...