Groups | Search | Server Info | Keyboard shortcuts | Login | Register [http] [https] [nntp] [nntps]
Groups > comp.soft-sys.math.maple > #1127
| From | "Nasser M. Abbasi" <nma@12000.org> |
|---|---|
| Newsgroups | comp.soft-sys.math.maple |
| Subject | Re: Elementary vs non-elementary result. |
| Date | 2015-05-07 01:50 -0500 |
| Organization | Aioe.org NNTP Server |
| Message-ID | <mif20e$b21$1@speranza.aioe.org> (permalink) |
| References | <d00f3a7a-0ed5-498b-b3b7-e3f922c68da0@googlegroups.com> <midu90$4ms$1@speranza.aioe.org> <010b0ee8-3edf-4722-b392-263df454e7bc@googlegroups.com> |
On 5/6/2015 6:09 PM, RGVickson@shaw.ca wrote:
> So, after switching to the *classic* worksheet and after
>clearing out old memory, it gives me what I claimed before.
>
> Note: if we call that last expression F(x), we can verify that,
>indeed, dF(x)/dx = f(x), as it should. Thus, f does have an elementary antiderivative.
>
> RGV
>
Well, if it makes you feel any better, Mathematica gives the answer with
the ellitpic functions in it:
Integrate[(x^2 + 1)/((x^2 - 1)*Sqrt[1 + x^4]), x]
-(-1)^(1/4) (EllipticF[I ArcSinh[(-1)^(1/4) x], -1] -
2 EllipticPi[I, ArcSin[(-1)^(3/4) x], -1])
However, Rubi 4.7 gives the much simpler answer:
Int[(x^2 + 1)/((x^2 - 1)*Sqrt[1 + x^4]), x]
-(ArcTanh[(Sqrt[2] x)/Sqrt[1 + x^4]]/Sqrt[2])
It is strange that your Maple gives different answer depending
on which interface is being used. ps. There is no classical interface
any more in Maple 2015. Only worksheet mode and document mode.
--Nasser
Back to comp.soft-sys.math.maple | Previous | Next — Previous in thread | Next in thread | Find similar | Unroll thread
Elementary vs non-elementary result. RGVickson@shaw.ca - 2015-05-06 09:52 -0700
Re: Elementary vs non-elementary result. "Nasser M. Abbasi" <nma@12000.org> - 2015-05-06 15:41 -0500
Re: Elementary vs non-elementary result. RGVickson@shaw.ca - 2015-05-06 16:09 -0700
Re: Elementary vs non-elementary result. "Nasser M. Abbasi" <nma@12000.org> - 2015-05-07 01:50 -0500
Re: Elementary vs non-elementary result. acer <maple@rogers.com> - 2015-05-08 10:28 -0700
Re: Elementary vs non-elementary result. "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2015-05-09 07:44 -0600
Re: Elementary vs non-elementary result. acer <maple@rogers.com> - 2015-05-11 20:16 -0700
Re: Elementary vs non-elementary result. acer <maple@rogers.com> - 2015-05-08 09:59 -0700
Re: Elementary vs non-elementary result. RGVickson@shaw.ca - 2015-05-08 15:03 -0700
csiph-web