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WZ
Numerade Educator

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Problem 53 Medium Difficulty

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) $

Answer

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

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