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

## $\int \tan ^{n} x d x=\frac{\tan ^{n-1} x}{n-1}-\int \tan ^{n-2} x d x$

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Integration Techniques

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### Video Transcript

It's a proof of problem is proof retraction for Miller into the role of kind of extra power. It's a call to Tenet. Extra months. Want power over one minus into a girl of handed ax? Two months. Just power. BX But this problem, I don't use the integration by parts. Instead, use new substitution. See how to do it. Yeah, I need it. Trick. Identity seeking. X squared minus one is two. Thanks. Coy now into your bed. His power x X is the country into the hand thanks to. And mine too. Terms canned. Thanks. Coy. Yeah, right. X squared wives want next. This is the car into girl handed acts to Linus. Just power. I'm second Ex squire. Yeah, thanks, Linus, Into a girl up here. Fax to minus two. Yes, forthis control. We can light a new country hand attacks. There you go. If they caught, you are taking X squared. Now. This intruder of this too interrupt you two months to its power. You think this is going to one over on you like a swan? You too much for this's adjusted first in terms of this attendant X two on my swan over a month one. And with this term is just mine in Canada. Axe to minus choose power. Next this business very sound.

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#### Topics

Integration Techniques

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