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 Post subject: Evaluate the integral (3)Posted: Thu, 23 Feb 2012 16:45:44 UTC
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Find the indefinite integral of: e^{2x}*sin(3x) dx

Here is my attempt; apparently, I got "looped"
(ie. came back to the original question as I was going Integration by Parts...)

http://i1084.photobucket.com/albums/j40 ... MG-001.png

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 Post subject: Re: Evaluate the integral (3)Posted: Thu, 23 Feb 2012 16:50:02 UTC
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A-R-Q wrote:
Find the indefinite integral of: e^{2x}*sin(3x) dx

Here is my attempt; apparently, I got "looped"
(ie. came back to the original question as I was going Integration by Parts...)

http://i1084.photobucket.com/albums/j40 ... MG-001.png

It isn't exactly looped --- you end up with , where is your integral and , so you have ...

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 Post subject: Re: Evaluate the integral (3)Posted: Fri, 24 Feb 2012 17:29:51 UTC
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Joined: Sun, 12 Feb 2012 02:16:54 UTC
Posts: 64
Once you see that you have looped, you'll notice that you can just add the two, somethign liek this

integral of: e^{2x}*sin(3x) dx = something + 2/3integral of: e^{2x}*sin(3x) dx, so you can just subtract then have

integral of: e^{2x}*sin(3x) dx - 2/3integral of: e^{2x}*sin(3x) dx = something

To what the previous guy posted,

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