File r34/lib/tritstx.tex artifact acf228e7e5 on branch master


\TRIexa{Integration}{TeXindent}{1000}{int(1+x+x**2,x);}
$$\displaylines{\qdd
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\TRIexa{Integration}{TeXindent}{1000}{int(x**2*(2*x**2+x)**2,x);}
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\TRIexa{Integration}{TeXindent}{1000}{int(x*(x**2+2*x+1),x);}
$$\displaylines{\qdd
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\cr}$$
\TRIexa{Integration}{TeXindent}{1000}{int(1/x,x);}
$$\displaylines{\qdd
\ln 
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\)
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\TRIexa{Integration}{TeXindent}{1000}{int((x+1)**3/(x-1)**4,x);}
$$\displaylines{\qdd
\(3\cdot \ln 
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/\nl 
\(3\cdot 
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\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(1/(x*(x-1)*(x+1)**2),x);}
$$\displaylines{\qdd
\(\ln 
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\TRIexa{Integration}{TeXindent}{1000}{int((a*x+b)/((x-p)*(x-q)),x);}
$$\displaylines{\qdd
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\TRIexa{Integration}{TeXindent}{1000}{int(1/(a*x**2+b*x+c),x);}
$$\displaylines{\qdd
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\TRIexa{Integration}{TeXindent}{1000}{int((a*x+b)/(1+x**2),x);}
$$\displaylines{\qdd
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\TRIexa{Integration}{TeXindent}{1000}{int(1/(x**2-2*x+3),x);}
$$\displaylines{\qdd
\frac{\sqrt{2}
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\TRIexa{Integration}{TeXindent}{1000}{int(1/((x-1)*(x**2+1))**2,x);}
$$\displaylines{\qdd
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  \off{327680}
  +\arctan 
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  \cdot x
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  \(x
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\)
/\nl 
\(4\cdot 
  \(x^{3}
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\)
\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x/((x-a)*(x-b)*(x-c)),x);}
$$\displaylines{\qdd
\(\ln 
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  \cdot a\cdot b
  -\ln 
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  \cdot a\cdot c
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  \cdot a\cdot b\nl 
  \off{327680}
  +\ln 
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  \cdot b\cdot c
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\(a^{2}\cdot b
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\)
\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x/((x**2+a**2)*(x**2+b**2)),x);}
$$\displaylines{\qdd
\frac{-\ln 
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\cr}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x**2/((x**2+a**2)*(x**2+b**2)),x);}
$$\displaylines{\qdd
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\cr}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x/((x-1)*(x**2+1)),x);}
$$\displaylines{\qdd
\frac{-\ln 
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\TRIexa{Integration}{TeXindent}{1000}{int(x/(1+x**3),x);}
$$\displaylines{\qdd
\frac{2\cdot 
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      -2\cdot \ln 
      \(x
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\cr}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x**3/((x-1)**2*(x**3+1)),x);}
$$\displaylines{\qdd
\(-
  \(4\cdot \ln 
    \(x^{2}
      -x
      +1
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    \cdot x
  \)
  +4\cdot \ln 
  \(x^{2}
    -x
    +1
  \)
  \nl 
  \off{327680}
  +9\cdot \ln 
  \(x
    -1
  \)
  \cdot x
  -9\cdot \ln 
  \(x
    -1
  \)
  -\ln 
  \(x
    +1
  \)
  \cdot x
  +\ln 
  \(x
    +1
  \)
  -6\cdot x
\)
/\nl 
\(12\cdot 
  \(x
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\)
\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(1/(1+x**4),x);}
$$\displaylines{\qdd
\(\sqrt{2}\cdot 
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      \)
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    \nl 
    \off{1277951}
    -2\cdot \arctan 
    \(\frac{\sqrt{2}
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    +2\cdot \arctan 
    \(\frac{\sqrt{2}
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/8
\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x**2/(1+x**4),x);}
$$\displaylines{\qdd
\(\sqrt{2}\cdot 
  \(\ln 
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/8
\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(1/(1+x**2+x**4),x);}
$$\displaylines{\qdd
\(2\cdot 
  \sqrt{3}\cdot \arctan 
  \(\frac{2\cdot x
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  \off{327680}
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/12
\Nl}$$
\TRIexa{Integration}{TeXindent}{1000}{int(sin x**2/x,x);}
$$\displaylines{\qdd
\int 
\frac{\sin 
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      ^{2}}{
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\cr}$$
\TRIexa{Integration}{TeXindent}{1000}{int(x*cos(xi/sin(x))*cos(x)/sin(x)**2,x);}
$$\displaylines{\qdd
\int 
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      \(\frac{\xi }{
              \sin 
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      \sin 
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\cr}$$


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