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# Use integration by parts to prove the reduction formula.$\displaystyle \int \sec^n x dx = \frac{\tan x \sec^{n - 2} x}{n - 1} + \frac{n - 2}{n - 1} \displaystyle \int \sec^{n - 2} x dx (n \neq 1)$

## $\tan x \sec ^{n-2} x +(n-2) \int \sec ^{n-1} x d x$

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Integration Techniques

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### Video Transcript

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Integration Techniques

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