Proof In Exercises 6772, use integration by parts to prove the formula. (For Exercises

Chapter 8, Problem 68

(choose chapter or problem)

In Exercises 67-72, use integration by parts to prove the formula. (For Exercises 67-70, assume that  \(n\)  is a positive integer.)

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

Text Transcription:

n

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

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