From: Albert_Rich@msn.com   
      
   On Monday, May 8, 2023 at 9:47:41 AM UTC-10, Nasser M. Abbasi wrote in part:   
      
   > Integrand is -2*ln(2*x) + ln(x^2) which is only defined for x>0   
   > on the real line because of the ln(2*x) term.    
      
   -2*ln(2*x) + ln(x^2) IS well defined for all x on the real line, except for   
   x=0.  For example, ln(-1)=pi i.   
      
   Symbolic integrators that produce antiderivatives NOT valid over the entire   
   complex plane should at least clearly indicate the domain over which they are   
   valid.   
      
   Rubi gives valid antiderivatives for all real and complex values of the   
   integration variable AND the integrand's parameters.   
      
   Albert   
      
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