Integrate?
- To: "mathgroup" <mathgroup at yoda.ncsa.uiuc.edu>
- Subject: Integrate?
- From: "WILLIAM M. GOLDING" <golding at ccf1.nrl.navy.mil>
- Date: 5 Nov 90 23:42:00 EDT
In a previous posting concerning this integration
flaw in Mathematica which Robert Staerk recently brought up,
Integrate[Sqrt[2-2 Cos[x]],{x,0,2 Pi}] =?= 0
Jeffrey Golden mentions an integral which he has just been able
to get Macsyma to do correctly. The integral he mentions is
Integrate[Sqrt[x + 1/x -2],{x,0,1}] = 4/3 .
Jeff says that Macsyma used to give the result as -4/3, which by the
way is what Mathematica gives. I just wanted to point out the similarity
between these two integrals. If in the second integral x is replaced by
e^(i x) the first integral is almost obtained except for a phase factor
and for the integration contour which I don't quite know how to interpret
at the moment. Anyways I just thought I'd mention the connection
since Jeff implied that the second form has been corrected in Macsyma.
Mike Golding
Email golding at ccf.nrl.navy.mil