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## Homework Statement

Part of an example of using reduction formula, I won't post the whole question as I get most of it, just at the very end, magical things happen with the working and things disappear, as they usually do with integration:

The definite integral goes from 0 to pi/4

=>[tex]\int[/tex] tan[tex]^{n-2}[/tex] x sec[tex]^{2}[/tex] x dx

=>tan[tex]^{n-1} x/n -1[/tex]

## The Attempt at a Solution

My question is, what happened to the sec[tex]^{2}[/tex] x in the integration process?

I see the tan got integrated, but I can't figure out how sec disappears