So, in my class we are learning how to use the tabular method to solve an integration by parts problem... but what happens if the two parts of the integral continuously repeat?(adsbygoogle = window.adsbygoogle || []).push({});

The example I have in mind is

[tex]\int e^x sin(x) dx[/tex].

I know how to solve this using repeated integration by parts... solve it until the integrand is e^x sinx again and then add to both sides and divide by 2... that makes sense to me. But when you use the tabular method for it, the derivatives of u and the integrals of v just continue endlessly... is it impossible to solve that way?

Thanks for the help!

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# Tabular Integration by Parts Repeated

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