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 Post subject: definite integrationPosted: Sat, 18 Aug 2012 19:19:32 UTC
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 Post subject: Re: definite integrationPosted: Sun, 19 Aug 2012 11:13:07 UTC
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mun wrote:

Obviously letting gives . Now recall the exponential integral has the convergent series for real , and take appropriate limit as .

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 Post subject: Re: definite integrationPosted: Sun, 19 Aug 2012 15:07:10 UTC
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sir at this solution where is the error

now when i put in the first integral ,we get .

the whole answer reduces to 0.where is the error.

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 Post subject: Re: definite integrationPosted: Sun, 19 Aug 2012 16:42:02 UTC
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mun wrote:
sir at this solution where is the error

now when i put in the first integral ,we get .

the whole answer reduces to 0.where is the error.

, and your naïve method would yield .

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 Post subject: Re: definite integrationPosted: Mon, 20 Aug 2012 14:50:22 UTC
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outermeasure wrote:
mun wrote:

Obviously letting gives . Now recall the exponential integral has the convergent series for real , and take appropriate limit as .

Actually one doesn't need the full series, just the divergent part near 0.

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