Integral of sec^4x - Solve with U-Substitution

[ibaforsale]

Homework Statement

The ∫sec⁴x

Homework Equations

The Attempt at a Solution

Im not entirely sure how to do this. At first I was thinking u sub but then there's nothing for u'.

 

[FeDeX_LaTeX]

What trig identities do you know involving se(x)?

 

[LCKurtz]

Homework Statement

The ∫sec⁴x

Homework Equations

The Attempt at a Solution

Im not entirely sure how to do this. At first I was thinking u sub but then there's nothing for u'.

Try writing it as$$
\int \sec^2x(1+\tan^2 x)~dx$$and look for a $u$ substitution.