clicliclic@freenet.de schrieb:   
   >   
   > Dr Huang schrieb:   
   > >   
   > > what is result is integrate( sinh(2sinh(x)-1)*cosh(x ))   ?   
   > > wolfram cannot do. which CAS can do?   
   > >   
   >   
   > Sadly, Derive 6.10 cannot:   
   >   
   > INT(SINH(2*SINH(x) - 1)*COSH(x), x)   
   >   
   > #e^(-1)*SUBST(INT(#e^(x - 1/x)/x^2, x), x, #e^x)/4   
   >  + #e^(-1)*SUBST(INT(#e^(x - 1/x), x), x, #e^x)/4   
   >  - #e*SUBST(INT(#e^(1/x - x)/x^2, x), x, #e^x)/4   
   >  - #e*SUBST(INT(#e^(1/x - x), x), x, #e^x)/4   
   >   
      
   However, Derive can be tricked into doing the integral by posing it as:   
      
   SUBST(#i*INT(SINH(2*SINH(#i*x) - 1)*COSH(#i*x), x), x, x/#i)   
      
   #e^(#e^x - #e^(-x) - 1)/4 + #e^(- #e^x + #e^(-x) + 1)/4   
      
   which restatement amounts to rotating the complex plane by 90 degrees.   
      
   Martin.   
      
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