eax sin bx dx eaxa sin bx b cos bx a2 b2 C
Chapter 8, Problem 93(choose chapter or problem)
In Exercises 89-94, use integration by parts to prove the formula. (For Exercises 89-92, assume that n is a positive integer.)
\(\int e^{a x} \sin b x d x=\frac{e^{a x}(a \sin b x-b \cos b x)}{a^{2}+b^{2}}+C\)
Text Transcription:
int e^ax sin bx dx=e^ax(a sin bx-b cos bx)a^2+b^2+C
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