Question

How do you integrate `sec^2xtan^10x`?

Answer 1

`intsec^2xtan^(10)xdx=tan^11x/11+c`

Explanation:

Let `u=tanx`, then `du=sec^2xdx`

Hence, `intsec^2xtan^(10)xdx=intu^10du`

= `u^11/11+c=tan^11x/11+c`