integrate(1/(sin(x)^2+1),x,a,b)?

here is the answer of MuPAD 3.1 (tomorrow I try the newer version 4.0):

>  int(1/(sin(x)^2+1),x) 

     1/8*I*8^(1/2)*ln(cos(2*x) - I*sin(2*x) + 8^(1/2) - 3) 
   - 1/8*I*8^(1/2)*ln(cos(2*x) - I*sin(2*x) - 8^(1/2) - 3)

HTH Wolfgang

"Raymond Toy" <raymond.toy at ericsson.com> schrieb:
> >>>>> "Barton" == Barton Willis <willisb at unk.edu> writes:
> 
>     Barton> Here is what I get using Maple 10
> [snip]
>     >> integrate(1/(sin(x)^2+1),x);
>     >> 
> 
>     Barton>                           1/2                1/2
>     Barton>                      1/2 2    arctan(tan(x) 2   )