Question

integrate:

Answer 1

it looks like there is a chain rule hiding in there

Answer 2

or, since tan^2 = sec^2-1, you can prolly clean it out some; but the key is in getting a proper tan to sec ratio to undo a chain rule

Answer 3

\[\int f'(g(u))~g'(u)~du=f(g(u))+C\]

Answer 4

yeah i agree.. forgot that

Answer 5

tan^2 sec^4

tan^2 (sec^2)^2

tan^2 (tan^2 + 1)^2

tan^2 (tan^4 +2tan^2 + 1)

tan^2 (tan^4 +2tan^2 + 1)

some combination of rewriting will eventually work out

Answer 6

thanks! ☺