Verifying a Reduction Formula In Exercises 7982, use integration by parts to verify the

Chapter 8, Problem 80

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In Exercises 79-82, use integration by parts to verify the reduction formula.

\(\int \cos ^{n} x d x=\frac{\cos ^{n-1} x \sin x}{n}+\frac{n-1}{n} \int \cos ^{n-2} x d x\)

Text Transcription:

int cos^{n} x dx = cos^{n - 1} x sin x / n + n-1 / n int cos^{n - 2} x dx

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