Path: ...!news.mixmin.net!aioe.org!pasdenom.info!from-devjntp Message-ID: <_2VeHBTOlmYkpTzcec-magzoPQM@jntp> JNTP-Route: news2.nemoweb.net JNTP-DataType: Article Subject: Re: Intregation References: <86A71or-P6OBYR6Lk52cGepvYN8@jntp> Newsgroups: fr.sci.maths JNTP-HashClient: d6qko4Vby4S6q7aEeFpz9pLEz9U JNTP-ThreadID: 3y6x6Sv6dSIYSpHqNx6RWuLBm_8 JNTP-Uri: http://news2.nemoweb.net/?DataID=_2VeHBTOlmYkpTzcec-magzoPQM@jntp User-Agent: Nemo/0.999a JNTP-OriginServer: news2.nemoweb.net Date: Mon, 25 Apr 22 16:22:47 +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="2022-04-25T16:22:47Z/6839436"; 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 Bytes: 1727 Lines: 19 Le 25/04/2022 à 15:51, Samuel DEVULDER a écrit : > Le 25/04/2022 à 14:01, Richard Hachel a écrit : >> How integrate >> ∫ sqrt (1+x²) > > Tu veux la primitive de √(1+x²) ou la primitive de l'intégrale ? > > Dans le 1er cas, c'est simple > https://www.wolframalpha.com/input?i=antiderivative+of+sqrt+%281%2Bx%C2%B2%29+ > > 1/2 (√(x² + 1) x + sinh⁻¹(x)) + constant x= 0 to 5.0245 ∫ sqrt (1+x²) R.H.