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October 14th, 2012, 11:18 PM   #1
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Indefinite Integration

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October 15th, 2012, 12:08 AM   #2
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Re: Indefinite Integration

This is not expressible in elementary terms.
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October 15th, 2012, 03:26 AM   #3
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Re: Indefinite Integration

Quote:
Originally Posted by MarkFL
This is not expressible in elementary terms.
I don't agree !
Let x = ((t^4)-1)^( -1/4)
Bring it back into the integal. This leads to an integral easy to express in terms of usual functions.
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October 15th, 2012, 05:37 AM   #4
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Re: Indefinite Integration

Thanks JJacquelin and Markfl

My solution::

[attachment=0:1705p6tf]Integral......gif[/attachment:1705p6tf]
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File Type: gif Integral......gif (10.1 KB, 202 views)
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October 15th, 2012, 06:14 AM   #5
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Re: Indefinite Integration

Your transformation is not completed yet because there is still (x^4) remainings at denominator.
No x must remain in the integral. This is an integral with only t.
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October 15th, 2012, 12:32 PM   #6
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Re: Indefinite Integration

Quote:
Originally Posted by JJacquelin
Your transformation is not completed yet because there is still (x^4) remainings at denominator.
No x must remain in the integral. This is an integral with only t.
Try scrolling down, that's what I thought at first.

@panky
That is the substitution that came into my mind too!

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Rejjy
16-Oct-2012
01:02 IST
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October 15th, 2012, 12:41 PM   #7
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Re: Indefinite Integration

Hi guys .. This substitution is giving me a headache .. There is something wrong with it !

I agree With Mark
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October 15th, 2012, 01:17 PM   #8
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Re: Indefinite Integration

Quote:
Originally Posted by zaidalyafey
Hi guys .. This substitution is giving me a headache .. There is something wrong with it !
I agree With Mark
Nothing is wrong. You just have to continue the work done by panky (8:36 am)
It remains only to find the primitives of -tē/((t^4)-1), which is not too difficult.
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October 16th, 2012, 02:36 AM   #9
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Re: Indefinite Integration

Quote:
Originally Posted by zaidalyafey
Hi guys .. This substitution is giving me a headache .. There is something wrong with it !

I agree With Mark
panky has already solved it, why are you confused? The integral is expressed as elementary form.
Here are my initial steps which prompted me of the substitution.

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16-Oct-2012
15:02 IST
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October 16th, 2012, 03:14 AM   #10
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Re: Indefinite Integration

You are right guys ,,, I agree with you
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