Question

How do you find the integral of `sec^5 x dx`?

Answer 1

`1/6sec^6x`

Explanation:

first, to simplify, set `u=secx` (or not)

now we have `intu^5dx`

to integrate, bring the power 5 up to 6 and add `1/6` in front

so we have `1/6u^6`

so the answer is `1/6sec^6x`