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 Post subject: Simple integration problemsPosted: Wed, 23 May 2012 13:05:07 UTC
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Joined: Wed, 23 May 2012 12:55:57 UTC
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How do I integrate ? . I already know how to integrate basic indefinite integrals, but I don't know how to solve this.

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 Post subject: Re: Simple integration problemsPosted: Wed, 23 May 2012 13:38:53 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6007
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
chomsky wrote:
How do I integrate ? . I already know how to integrate basic indefinite integrals, but I don't know how to solve this.

First perform long division.

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 Post subject: Re: Simple integration problemsPosted: Wed, 23 May 2012 14:13:59 UTC
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Joined: Wed, 23 May 2012 12:55:57 UTC
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Do you mean that I should divide x^3 by x^2 - 4. I tried that, but I'm getting a remainder. The whole thing comes out to . The remainder isn't of the form , so I don't know how to proceed further.

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 Post subject: Re: Simple integration problemsPosted: Wed, 23 May 2012 14:25:05 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
chomsky wrote:
Do you mean that I should divide x^3 by x^2 - 4. I tried that, but I'm getting a remainder. The whole thing comes out to . The remainder isn't of the form , so I don't know how to proceed further.

Hint: What is ?

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 Post subject: Re: Simple integration problemsPosted: Wed, 23 May 2012 16:42:36 UTC
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Joined: Wed, 23 May 2012 12:55:57 UTC
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I don't know.

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 Post subject: Re: Simple integration problemsPosted: Wed, 23 May 2012 19:00:21 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12098
Location: Austin, TX
chomsky wrote:
I don't know.

Then make a u-substitution.

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