(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Integration by parts

1. Evaluate

[tex]\int e^{x}sinxdx[/tex]

[Hint: Integrate by parts twice.]

I can't seem to get an answer, but by integrating, the process is redundant (repeats itself).

Thanks

Work:

[tex]\int e^{x}sinxdx[/tex]

Let u = sin x, therefore du = cosxdx

Let [tex]dv = e^{x}dx[/tex], therefore v = [tex]e^{x}[/tex]

Using Integration by parts in Differential Notation

[tex]\int e^{x}sinxdx = e^{x}sinx - \int e^{x}cosxdx[/tex] <--- See how [tex]\int e^{x}cosxdx[/tex] The process of integration will repeat over and over again.

What am I doing wrong?

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# Homework Help: Integration by parts

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