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SandBoxTraceAffectsResults

Edit detail for SandBoxTraceAffectsResults revision 3 of 3

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Editor: Bill Page Time: 2015/03/16 02:29:45 GMT+0
Note: Bug with trace )off

added:
D(%,x)
%-sin(sqrt(x*x))
normalize %

fricas

(1) -> integrate(sin(sqrt(x*x)),x)

$\label{eq1}\frac{{{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}- 1}{{{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}+ 1}$

(1)

Type: Union(Expression(Integer),...)

fricas

D(%,x)

$\label{eq2}\frac{2 \ x \ {\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}}{{{\sqrt{{x}^{2}}}\ {{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}}+{\sqrt{{x}^{2}}}}$

(2)

Type: Expression(Integer)

fricas

%-sin(sqrt(x*x))

$\label{eq3}\frac{-{{\sqrt{{x}^{2}}}\ {\sin \left({\sqrt{{x}^{2}}}\right)}\ {{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}}+{2 \ x \ {\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}}-{{\sqrt{{x}^{2}}}\ {\sin \left({\sqrt{{x}^{2}}}\right)}}}{{{\sqrt{{x}^{2}}}\ {{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}}+{\sqrt{{x}^{2}}}}$

(3)

Type: Expression(Integer)

fricas

normalize %

$\label{eq4}0$

(4)

Type: Expression(Integer)

fricas

)trace INTEF )math

   Packages traced: 
      ElementaryIntegration(Complex(Integer),Expression(Complex(
            Integer)))
   Parameterized constructors traced:
      INTEF
integrate(sin(sqrt(x*x)),x)

 1<enter ElementaryIntegration.lfintegrate,43 : 
                %i x 2
        - %i (%e    )  + %i
 arg1 = -------------------
                  %i x
              2 %e
 arg2 = x
  2<enter ElementaryIntegration.lfintegrate,43 : 
  arg1 = 0
  arg2 = x
  2>exit  ElementaryIntegration.lfintegrate,43 : 
  0
 1>exit  ElementaryIntegration.lfintegrate,43 : 
      %i x 2
 - (%e    )  - 1
 ---------------
         %i x
     2 %e

$\label{eq5}\frac{{{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}- 1}{{{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}+ 1}$

(5)

Type: Union(Expression(Integer),...)

fricas

D(%,x)

$\label{eq6}\frac{2 \ x \ {\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}}{{{\sqrt{{x}^{2}}}\ {{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}}+{\sqrt{{x}^{2}}}}$

(6)

Type: Expression(Integer)

fricas

%-sin(sqrt(x*x))

$\label{eq7}\frac{-{{\sqrt{{x}^{2}}}\ {\sin \left({\sqrt{{x}^{2}}}\right)}\ {{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}}+{2 \ x \ {\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}}-{{\sqrt{{x}^{2}}}\ {\sin \left({\sqrt{{x}^{2}}}\right)}}}{{{\sqrt{{x}^{2}}}\ {{\tan \left({\frac{\sqrt{{x}^{2}}}{2}}\right)}^{2}}}+{\sqrt{{x}^{2}}}}$

(7)

Type: Expression(Integer)

fricas

normalize %

$\label{eq8}0$

(8)

Type: Expression(Integer)

fricas

)trace INTEF )off

   Nothing is traced now.

integrate(sin(sqrt(x*x)),x)

$\label{eq9}\frac{{{\tan \left({\frac{x}{2}}\right)}^{2}}- 1}{{{\tan \left({\frac{x}{2}}\right)}^{2}}+ 1}$

(9)

Type: Union(Expression(Integer),...)

fricas

D(%,x)

$\label{eq10}\frac{2 \ {\tan \left({\frac{x}{2}}\right)}}{{{\tan \left({\frac{x}{2}}\right)}^{2}}+ 1}$

(10)

Type: Expression(Integer)

fricas

%-sin(sqrt(x*x))

$\label{eq11}\frac{{{\left(-{{\tan \left({\frac{x}{2}}\right)}^{2}}- 1 \right)}\ {\sin \left({\sqrt{{x}^{2}}}\right)}}+{2 \ {\tan \left({\frac{x}{2}}\right)}}}{{{\tan \left({\frac{x}{2}}\right)}^{2}}+ 1}$

(11)

Type: Expression(Integer)

fricas

normalize %

$\label{eq12}\frac{-{2 \ {\tan \left({\frac{x - x}{2}}\right)}\ {{\tan \left({\frac{x}{2}}\right)}^{2}}}+{4 \ {{\tan \left({\frac{x - x}{2}}\right)}^{2}}\ {\tan \left({\frac{x}{2}}\right)}}+{2 \ {\tan \left({\frac{x - x}{2}}\right)}}}{{{\left({{\tan \left({\frac{x - x}{2}}\right)}^{2}}+ 1 \right)}\ {{\tan \left({\frac{x}{2}}\right)}^{2}}}+{{\tan \left({\frac{x - x}{2}}\right)}^{2}}+ 1}$

(12)

Type: Expression(Integer)