# Integral of Sec^4x

The ∫sec4x

## The Attempt at a Solution

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

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

LCKurtz
Homework Helper
Gold Member

The ∫sec4x

## The Attempt at a Solution

Im not entirely sure how to do this. At first I was thinking u sub but then theres nothing for u'.
Try writing it as$$\int \sec^2x(1+\tan^2 x)~dx$$and look for a $u$ substitution.