Integral of sec^5x dx

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- March 9th 2009, 09:54 PMhomerbtrigonometric integrals
Integral of sec^5x dx

- March 10th 2009, 07:45 AMGrandadTrig Integral
Hello homerbThis is very innocent looking, but is a bit of a brute. Here's my solution - there may be an easier one.

Note first that and

Let

, by Parts

, where

In a similar way you can show that

, where

, where

When you put all this back together again, you get

Grandad