Question

How do you integrate `int sec^6(4x)tan(4x)`?

Answer 1

`sec^6(4x)/24+C`

Explanation:

Use dsecx = sec x tan x dx.

`int sec^6(4x)tan(4x) dx`

`=1/4 int sec^5(4x)dsec(4x)`

`=sec^6(4x)/24+C`