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2024-06-13 22:17
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cernyj27
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2026-04-10 17:40
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# 1. priklad pisomka A

<{ForumPost(poster="tibor", timestamp=2005-09-09 17:59:04)}>
Ahoj
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Chcem sa spytat na riesenie 1. prikladu v pisomke A. Vychadza mi ze v x=1 to nema vlastnu limitu a z definicie potom neexistuje Newtonov integral, ale sa mi nechce verit ze by nieco take bolo v pisomke, nemate niekto riesenie?
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Spocitat neurcity integral nie je problem len co s tym ked x=1.
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Zadanie je tu
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[http://www.karlin.mff.cuni.cz/~pick/MAI ... isem_A.pdf](http://www.karlin.mff.cuni.cz/~pick/MAII_04-05_LS_pisem_A.pdf)
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<{ForumPost(poster="tutchek", timestamp=2005-09-10 00:25:00)}>
pac uz jsem krapet vysel ze cviku, nechal jsem si to spocitat pocitac:
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\!\(\(-2\)\ \@\(1\/\(\(-1\) + x\)\)\ \@\(\(-1\) + x\)\ \((ArcSin\[\@\(\(-1\) + \
x\)\/\@2] - \@3\ ArcTan\[\@\(\(-1\) + x\)\/\@\(1 - x\/3\)])\)\)
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uhm... mathematica zas***
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-2(ArcSin(SQRT((-1+x)/2)-SQRT(3)*ArcTan(SQRT\[(-1+x)/(1-x/3)]))
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coz je imho 0 v 1 \[-1 + 1 = 0, zbytek je nezajimavy]
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ale jsem ted spise ve vodach programovani nez analyzy, takze bez zaruky
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<{ForumPost(poster="Ferro_the_King", timestamp=2005-09-10 01:29:07)}>

&nbsp;> tutchek wrote:
&nbsp;> \!\(\(-2\)\ \@\(1\/\(\(-1\) + x\)\)\ \@\(\(-1\) + x\)\ \((ArcSin\[\@\(\(-1\) + \
&nbsp;> x\)\/\@2] - \@3\ ArcTan\[\@\(\(-1\) + x\)\/\@\(1 - x\/3\)])\)\)

A ja myslel, ze kurzy Cinstiny budou az pristi rok :D :D
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