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Re: sum of integrals over patial intervals != integral

Works in my version:


5.2 for Mac OS X (June 20, 2005)




Bob Hanlon

---- Peter Pein <petsie at> wrote: 
> Dear group,
> I wanted Mathematica to show, that for f[x_]:=Log[Sin[x]^2]Tan[x], 
> Integrate[f[x],{x,0,Pi}]==0, because f[x]+f[Pi-x]==0.
> Mathematica says Integrate[f[x],{x,0,Pi}] does not converge, but 
> Integrate[f[x],{x,0,Pi/2}] and Integrate[f[x],{x,Pi/2,Pi}] evaluate to 
> -Pi^2/12 resp. P^2/12 and the sum is zero. The more general integral 
> Integrate[f[x],{x,0,z},Assumptions->Pi/2<z<=Pi] evaluates explicitly (?).
> What did I do wrong?
> TIA,
> Peter

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