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Submitted by : kratt6 at: 2009-01-13T01:50:49-08:00 (15 years ago)
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fricas
(1) -> integrate(log(1-z^3)*(%i*z)^(1/2), z)

\label{eq1}\frac{{{\sqrt{{16}\  i}}\ {\log \left({\frac{{4 \  i \  z \ {\sqrt{i \  z}}}+{i \ {\sqrt{{16}\  i}}}}{4}}\right)}}-{{\sqrt{{16}\  i}}\ {\log \left({\frac{{4 \  i \  z \ {\sqrt{i \  z}}}-{i \ {\sqrt{{1
6}\  i}}}}{4}}\right)}}+{{\left({4 \  z \ {\log \left({-{{z}^{3}}+ 1}\right)}}-{8 \  z}\right)}\ {\sqrt{i \  z}}}}{6}(1)
Type: Union(Expression(Complex(Integer)),...)

another instance --kratt6, Tue, 13 Jan 2009 02:09:57 -0800 reply
fricas
integrate(sin(z)*csc(z)*(1-1/(%i*z)^(1/2))^(1/2), z)

\label{eq2}\frac{{i \ {\sqrt{i \  z}}\ {\log \left({{\sqrt{\frac{{\sqrt{i \  z}}- 1}{\sqrt{i \  z}}}}+ 1}\right)}}-{i \ {\sqrt{i \  z}}\ {\log \left({{\sqrt{\frac{{\sqrt{i \  z}}- 1}{\sqrt{i \  z}}}}- 1}\right)}}+{{\left({4 \  z \ {\sqrt{i \  z}}}-{2 \  z}\right)}\ {\sqrt{\frac{{\sqrt{i \  z}}- 1}{\sqrt{i \  z}}}}}}{4 \ {\sqrt{i \  z}}}(2)
Type: Union(Expression(Complex(Integer)),...)

simpler instance --kratt6, Tue, 13 Jan 2009 02:12:25 -0800 reply
fricas
integrate((1-1/(%i*z)^(1/2))^(1/2), z)

\label{eq3}\frac{{i \ {\sqrt{i \  z}}\ {\log \left({{\sqrt{\frac{{\sqrt{i \  z}}- 1}{\sqrt{i \  z}}}}+ 1}\right)}}-{i \ {\sqrt{i \  z}}\ {\log \left({{\sqrt{\frac{{\sqrt{i \  z}}- 1}{\sqrt{i \  z}}}}- 1}\right)}}+{{\left({4 \  z \ {\sqrt{i \  z}}}-{2 \  z}\right)}\ {\sqrt{\frac{{\sqrt{i \  z}}- 1}{\sqrt{i \  z}}}}}}{4 \ {\sqrt{i \  z}}}(3)
Type: Union(Expression(Complex(Integer)),...)

fixed in FriCAS revision 486 --kratt6, Fri, 16 Jan 2009 05:07:16 -0800 reply
Status: open => fixed somewhere




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