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

Chapter 8, Problem 72

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

\(\int e^{a x} \cos b x d x=\frac{e^{a x}(a \cos b x+b \sin b x)}{a^{2}+b^{2}}+C\)

Text Transcription:

n

int e^{ax} cos bx dx = e^{ax} (a cos bx + b sin bx) / a^2 + b^2 + C

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