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	Math Help Forum > University Math Help > Calculus Integrate Sqrt[x^2-a]? User Name Save? Password Register Forum Rules FAQ Donate Members List Arcade Download MHF Flyer Search Today's Posts Mark Forums Read   Thread Tools Display Modes   #1   December 2nd, 2008, 08:24 AM coverband Newbie   Join Date: Dec 2008 Posts: 4 Country: Thanks: 0 Thanked 0 Times in 0 Posts Integrate Sqrt[x^2-a]? I believe the answer is 0.5(x(x^2-a)^0.5)-0.5aln(x+(x^2-a)^0.5) does anyone know how to get this/derive this i.e. not take from tables !!!! Thanks Advertisement     #2   December 2nd, 2008, 09:05 AM Jhevon vs Jhevon   Join Date: Feb 2007 Location: New York, USA Posts: 11,044 Country: Thanks: 2,607 Thanked 4,261 Times in 3,960 Posts Quote: Originally Posted by coverband I believe the answer is 0.5(x(x^2-a)^0.5)-0.5aln(x+(x^2-a)^0.5) does anyone know how to get this/derive this i.e. not take from tables !!!! Thanks that is correct. to get the derivative of the answer, you need to use the product rule and the chain rule. are you familiar with these. moreover, note that (by the chain rule) where is some function of __________________ To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. " border="0" /> Join the dark side. We have cookies. Threads I link people to too often to have to be looking them up every time: To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.   #3   December 2nd, 2008, 09:39 AM Chop Suey Super Member   Join Date: Jun 2008 Posts: 796 Thanks: 387 Thanked 454 Times in 387 Posts Quote: Originally Posted by Jhevon that is correct. to get the derivative of the answer, you need to use the product rule and the chain rule. are you familiar with these. moreover, note that (by the chain rule) where is some function of I could be wrong, but I think s/he was asking how the result was reached.   #4   December 4th, 2008, 02:53 PM Mathstud28 MHF Contributor   Join Date: Mar 2008 Location: Pennsylvania Posts: 3,664 Country: Thanks: 430 Thanked 1,057 Times in 959 Posts try letting __________________ We're clever but we're clueless. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. Last edited by mr fantastic; December 4th, 2008 at 09:21 PM.   #5   December 4th, 2008, 02:56 PM coverband Newbie   Join Date: Dec 2008 Posts: 4 Country: Thanks: 0 Thanked 0 Times in 0 Posts mathstud what if a is negative - then we can't consider sqrt(a) ?   #6   December 4th, 2008, 02:57 PM Mathstud28 MHF Contributor   Join Date: Mar 2008 Location: Pennsylvania Posts: 3,664 Country: Thanks: 430 Thanked 1,057 Times in 959 Posts Quote: Originally Posted by coverband mathstud what if a is negative - then we can't consider sqrt(a) ? Ok then make it and make the sub or __________________ We're clever but we're clueless. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.   #7   December 4th, 2008, 02:59 PM coverband Newbie   Join Date: Dec 2008 Posts: 4 Country: Thanks: 0 Thanked 0 Times in 0 Posts but we want to integrate Sqrt[x^2-a] and i forsee difficulty for if a<0 we can not use sqrt(a) in our substitutions   #8   December 4th, 2008, 03:00 PM Mathstud28 MHF Contributor   Join Date: Mar 2008 Location: Pennsylvania Posts: 3,664 Country: Thanks: 430 Thanked 1,057 Times in 959 Posts Quote: Originally Posted by coverband but we want to integrate Sqrt[x^2-a] and i forsee difficulty for if a<0 we can not use sqrt(a) in our substitutions I edited my post __________________ We're clever but we're clueless. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.   #9   December 4th, 2008, 03:00 PM coverband Newbie   Join Date: Dec 2008 Posts: 4 Country: Thanks: 0 Thanked 0 Times in 0 Posts Quote: Originally Posted by Mathstud28 Ok then make it and make the sub or but you took the square root of a neg number there. Is that allowed ?   #10   December 4th, 2008, 03:00 PM Mathstud28 MHF Contributor   Join Date: Mar 2008 Location: Pennsylvania Posts: 3,664 Country: Thanks: 430 Thanked 1,057 Times in 959 Posts Quote: Originally Posted by coverband but you took the square root of a neg number there. Is that allowed ? But you said what if so yes __________________ We're clever but we're clueless. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts. To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.   #11   December 4th, 2008, 03:01 PM Jameson Administrator   Join Date: Oct 2005 Location: Earth Posts: 2,164 Thanks: 380 Thanked 1,192 Times in 684 Posts Quote: Originally Posted by coverband you're a very stupid man jhevon And you're banned for 2 weeks to cool off. None of that. The Following 3 Users Say Thank You to Jameson For This Useful Post: Chop Suey, janvdl, mr fantastic « proove series question.. | Top | how to integrate this... » Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are Off Forum Jump User Control Panel Private Messages Subscriptions Who's Online Search Forums Forums Home Pre-University Math Help     Pre-Algebra and Algebra     Geometry     Trigonometry     Pre-Calculus     Basic Statistics and Probability     Other topics University Math Help     Calculus     Analysis, Topology and Differential Geometry     Linear and Abstract Algebra     Number theory     Discrete Mathematics, Set Theory and Logic     Advanced Probability and Statistics     Advanced Applied Math     Differential Equations     Business Math     Other Advanced Topics Math Resources     LaTex Help     Mathematics Software Discussion     Calculator Discussion     Useful Math Websites     Mathematics News MHF Lounge     Chat Room         Live Chat     Problem of the Week     Pre-prints and other original work     Formal Debates         Proposals Challenges and Puzzles     Puzzles     Math Challenge Problems MHF Feedback and Announcements Forum     Question, Feedback and Comments     Announcements Our Other "Help Forums"     Physics Help Forum     Chemistry Help Forum All times are GMT -7. 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