Re: Integral Questions
- To: mathgroup at smc.vnet.net
- Subject: [mg89369] Re: Integral Questions
- From: Bill Rowe <readnews at sbcglobal.net>
- Date: Sat, 7 Jun 2008 02:59:27 -0400 (EDT)
On 6/6/08 at 6:45 AM, gdennes at bigpond.com (Graeme Dennes) wrote: >I am attempting to calculate the integrals with respect to x of the >two functions: <snip> >Mathematica 6 presents solutions which seem to depend on the form of >the function entered, and in some instances, Mathematica does not >read the syntax correctly. >Eg, using ((x^2 + a)/(bx)) and (x/b + a/b/x) as different (but >correct) forms of the arcsin function yield different results! >Taking the first function, and entering it as: >Integral[((arcsin(a/b/x+x/b))-c)/x,x] Either you mean Integrate (not Integral) or you need to tell us what the function Integral does since that is not a built-in Mathematica function. Assuming you did mean Integrate, did you notice that version 6 colored arcsin in the same way as a,b,c and x were colored? That is as written, arcsine in this expression is a variable, not a function. <snip> >Note the missing argument of the first arcsin. The fact you think there is a missing argument implies what you really wanted was Integrate[(ArcSin[x/b + a/b/x]-c)/x, x] which seems to be an integral version 6 cannot solve in closed form