> From: Raymond Toy
> Subject: integrate(1/(sin(x)^2+1),x,a,b)?
>
> What should maxima do here? What do Macsyma, Maple, and/or
> Mathematica return for this integral?
>
> Ray
Mathematica 6.0 for Linux x86 (64-bit)
Copyright 1988-2007 Wolfram Research, Inc.
In[2]:= Integrate[1/(Sin[x]^2+1),{x,0,z}]
-Pi Pi
Out[2]= If[(Im[z] != 0 || --- <= Re[z] <= --) &&
2 2
> (ArcCosh[3] + 2 Im[z] >= 0 || z == Re[z] || Re[z] != 0),
ArcTan[Sqrt[2] Tan[z]] z
> ----------------------, Integrate[-------------, {x, 0, 1},
Sqrt[2] 2
1 + Sin[x z]
> Assumptions ->
-Pi Pi
> !((Im[z] != 0 || --- <= Re[z] <= --) &&
2 2
I I
> (Im[z] == - ArcCos[3] || (Im[z] <= 0 && Im[z] >= - ArcCos[3]) ||
2 2
> Im[z] == 0 || Im[z] >= 0 || Re[z] != 0))]]
NOTICE
This e-mail and any attachments are private and confidential and may contain privileged information. If you are not an authorised recipient, the copying or distribution of this e-mail and any attachments is prohibited and you must not read, print or act in reliance on this e-mail or attachments.
This notice should not be removed.