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X-FeedAbuse: http://nntpfeed.proxad.net/abuse.pl feeded by 82.66.60.35 Path: ...!news.mixmin.net!proxad.net!feeder1-2.proxad.net!nntpfeed.proxad.net!pasdenom.info!from-devjntp Message-ID: <s0JclC4oP9H9NKLMKODfZNe5BuE@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Intregation References: <86A71or-P6OBYR6Lk52cGepvYN8@jntp> <6266a3dd$0$18726$426a74cc@news.free.fr> Newsgroups: fr.sci.maths JNTP-HashClient: 4T0YasfhITTUDO26SfPZ8bb-FKM JNTP-ThreadID: 3y6x6Sv6dSIYSpHqNx6RWuLBm_8 JNTP-Uri: http://news2.nemoweb.net/?DataID=s0JclC4oP9H9NKLMKODfZNe5BuE@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Mon, 25 Apr 22 20:03:27 +0000 Organization: Nemoweb JNTP-Browser: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/100.0.4896.127 Safari/537.36 Injection-Info: news2.nemoweb.net; posting-host="a082d72449e6c2691f4dc2ddc972fd99f35fa04a"; logging-data="2022-04-25T20:03:27Z/6840181"; posting-account="4@news2.nemoweb.net"; mail-complaints-to="newsmaster@news2.nemoweb.net" JNTP-ProtocolVersion: 0.21.1 JNTP-Server: PhpNemoServer/0.94.5 MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit X-JNTP-JsonNewsGateway: 0.96 From: Richard Hachel <r.hachel@tiscali.fr> Bytes: 1716 Lines: 18 Le 25/04/2022 à 15:36, rosab a écrit : > Richard Hachel a écrit : >> How integrate >> >> ∫ sqrt (1+x²) > > In[1]:= Integrate[Sqrt[1 + x^2], x] > Out[1]= 1/2 (x Sqrt[1 + x^2] + ArcSinh[x]) Arcsinh(x)=ln(x+sqrt(1+x²)) F(x) = 1/2 (x sqrt[1+ x²] + ln(x+sqrt(1+x²)) No? R.H.