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
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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
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.
try letting
Last edited by mr fantastic; December 4th 2008 at 07:21 PM.
mathstud what if a is negative - then we can't consider sqrt(a) ?
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
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
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
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 ?
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
Originally Posted by coverband you're a very stupid man jhevon And you're banned for 2 weeks to cool off. None of that.
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