Re: Problem with integrate
Nicolas Robidoux <[email protected]> Sun, 23 Nov 2014 15:07:21 +0100
| Newsgroups | gmane.comp.mathematics.axiom.user |
|---|---|
| Message-ID | <CAGZHQLzKRjHKNWs-AriuCau7rK9WjD3k1KyDpubYxaDk+WcBKg@mail.gmail.com> |
--===============2583691463005990782== Content-Type: multipart/alternative; boundary=047d7b3a8c8050b7600508873202 --047d7b3a8c8050b7600508873202 Content-Type: text/plain; charset=UTF-8 Looks like a bug to me. On 22 November 2014 at 07:55, Thomas Baruchel <[email protected]> wrote: > Hi, > > I am really new to Axiom. I downloaded it in order to try it with the > following > integral. I have here three commands (see below): > * definite integral between 0 and 1 > * symbolic integration > * derivative of previous output (which doesn't match my input) > > What am I doing wrong? Best regards, tb. > > integrate((16*x^14-125*x^10+150*x^6+375*x^2)/(256*x^16+480*x^12+1025*x^8+750*x^4 > +625),x=0..1) > > 5 > (1) -- > 77 > Type: Union(f1: OrderedCompletion(Expression( > Integer)),...) > (2) -> integrate((16*x^14-125*x^10+150*x^6+375*x^2)/(256*x^16+480*x^12+1025*x^8+750*x^4 > +625),x) > > 7 3 > 5x + 35x > (2) ------------------- > 8 4 > 176x + 165x + 275 > Type: > Union(Expression(Integer),...) > (3) -> D( (5*x^7+35*x^3)/(176*x^8+165*x^4+275) ,x) > > 14 10 6 2 > - 80x - 2575x + 350x + 2625x > (3) ------------------------------------------- > 16 12 8 4 > 2816x + 5280x + 11275x + 8250x + 6875 > Type: > Fraction(Polynomial(Integer)) > > > -- > Thomas Baruchel > > _______________________________________________ > Axiom-mail mailing list > [email protected] > https://lists.nongnu.org/mailman/listinfo/axiom-mail > --047d7b3a8c8050b7600508873202 Content-Type: text/html; charset=UTF-8 Content-Transfer-Encoding: quoted-printable <div dir=3D"ltr">Looks like a bug to me.</div><div class=3D"gmail_extra"><b= r><div class=3D"gmail_quote">On 22 November 2014 at 07:55, Thomas Baruchel = <span dir=3D"ltr"><<a href=3D"mailto:[email protected]" target=3D"_blank"= >[email protected]</a>></span> wrote:<br><blockquote class=3D"gmail_quote= " style=3D"margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">H= i,<br> <br> I am really new to Axiom. I downloaded it in order to try it with the follo= wing<br> integral. I have here three commands (see below):<br> =C2=A0 * definite integral between 0 and 1<br> =C2=A0 * symbolic integration<br> =C2=A0 * derivative of previous output (which doesn't match my input)<b= r> <br> What am I doing wrong? Best regards, tb.<br> <br> integrate((16*x^14-125*x^10+<u></u>150*x^6+375*x^2)/(256*x^16+<u></u>480*x^= 12+1025*x^8+750*x^4 +625),x=3D0..1)<br> <br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A05<br> =C2=A0 =C2=A0(1)=C2=A0 --<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 77<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 Type: Union(= f1: OrderedCompletion(Expression(<u></u>Integer)),...)<br> (2) -> integrate((16*x^14-125*x^10+<u></u>150*x^6+375*x^2)/(256*x^16+<u>= </u>480*x^12+1025*x^8+750*x^4 +625),x)<br> <br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A07=C2=A0 =C2=A0 =C2= =A0 3<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A05x=C2=A0 + 35x<br> =C2=A0 =C2=A0(2)=C2=A0 -------------------<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 8=C2=A0 =C2=A0 =C2=A0 =C2=A04<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 176x=C2=A0 + 165x=C2=A0 + 275<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2= =A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0Ty= pe: Union(Expression(Integer),...)<br> (3) -> D( (5*x^7+35*x^3)/(176*x^8+165*x^<u></u>4+275) ,x)<br> <br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 14=C2=A0 =C2= =A0 =C2=A0 =C2=A0 10=C2=A0 =C2=A0 =C2=A0 =C2=A06=C2=A0 =C2=A0 =C2=A0 =C2=A0= 2<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0- 80x=C2=A0 =C2=A0- 2575x= =C2=A0 =C2=A0+ 350x=C2=A0 + 2625x<br> =C2=A0 =C2=A0(3)=C2=A0 ------------------------------<u></u>-------------<b= r> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A016=C2=A0 =C2=A0 =C2=A0 =C2= =A0 12=C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A08=C2=A0 =C2=A0 =C2=A0 =C2=A0 4<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 2816x=C2=A0 =C2=A0+ 5280x=C2=A0 =C2=A0+ 11275x= =C2=A0 + 8250x=C2=A0 + 6875<br> =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2= =A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 T= ype: Fraction(Polynomial(Integer))<span class=3D"HOEnZb"><font color=3D"#88= 8888"><br> <br> <br> -- <br> Thomas Baruchel<br> <br> ______________________________<u></u>_________________<br> Axiom-mail mailing list<br> <a href=3D"mailto:[email protected]" target=3D"_blank">Axiom-mail@nongn= u.org</a><br> <a href=3D"https://lists.nongnu.org/mailman/listinfo/axiom-mail" target=3D"= _blank">https://lists.nongnu.org/<u></u>mailman/listinfo/axiom-mail</a><br> </font></span></blockquote></div><br></div> --047d7b3a8c8050b7600508873202-- --===============2583691463005990782== Content-Type: text/plain; charset="us-ascii" MIME-Version: 1.0 Content-Transfer-Encoding: 7bit Content-Disposition: inline _______________________________________________ Axiom-mail mailing list [email protected] https://lists.nongnu.org/mailman/listinfo/axiom-mail --===============2583691463005990782==--