Use Integration by Parts to Establish a Reduction Formula for the Integral

question 90

Multiple Choice

Use integration by parts to establish a reduction formula for the integral.
- $$\int \tan ^ { \mathrm { n } } \mathrm { xdx } , \mathrm { n } \neq 1$$

• A) \(\int \tan ^ { n } x d x = \frac { 1 } { n - 1 } \tan ^ { n - 1 } x - \int \tan ^ { n - 2 } x d x\)
• B) \(\int \tan ^ { n } x d x = \frac { 1 } { n - 1 } \tan ^ { n - 1 } x + \int \tan ^ { n - 1 } x d x\)
• C) \(\int \tan ^ { n } x d x = \tan ^ { n - 1 } x - \frac { 1 } { n - 1 } \int \tan ^ { n - 2 } x d x\)
• D) \(\int \tan ^ { n } x d x = \frac { 1 } { n - 1 } \tan ^ { n - 2 } x - \int \tan ^ { n - 1 } x d x\)

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