Question

Calculus U-substition HELP PLEASE :)

Integral 1/3 sec^8x dx

Thanks!

Answer 1

Is the secant in the denominator?

Answer 2

nope numerator

Answer 3

sec^8x = sec^2x*sec^6x = sec^2x(sec^2x)^3

= sec^2x(tan^2x+1)^3

Understand what I did there? :U
From here we can apply a nice easy substitution.
I won't spill the beans if you want to find it from this step.
Lemme know if you're still stuck.