From: Jorge on 7 Jan 2010 21:00
On 7 ene, 20:39, Han <handuongs...(a)gmail.com> wrote:
> On Jan 7, 2:44 pm, Dave Hayden <d...(a)larou.com> wrote:
> > On Jan 7, 2:48 pm, Jorge <jorge.po...(a)gmail.com> wrote:
> > > On 6 ene, 19:30, Daniel <djpetro...(a)gmail.com> wrote:
> > > Thanks for your clarifying answer. But the doubt on how HP50G gives
> > > the output for the first case (even if mathematically correct -cos(1)
> > > - - 1 is 1-cos(1)) remains. Just in how is made the output.
> > If you press EVAL, you'll get -(cos(1)-1), which is a little better.
> > You can get what you want by going to pressing MODE F3 and checking
> > "Incr Pow" to tell the CAS to display equations with the constant on
> > the left instead of the right. Now press OK twice to return to the
> > stack display and press EVAL to get 1-COS(X)
> > Dave
> I don't know how integration works for the HP50, but on the HP48, many
> "basic" integrals are done using a method similar to using a look-up
> table (via MATCH commands). Since the integrand is SIN(X), the
> antiderivative is -COS(X). The output that you see is simply the
> result of the Fundamental Theorem of Calculus. Using the Fundamental
> Theorem of Calculus (which _IS_ implemented in the HP48), results in:
> INT(0,1,SIN(X),X) = -COS(1) - -COS(0)
> My guess is that the HP50, due to the settings, automatically
> simplifies -COS(0) to -1.
As seen, this wonderful machine makes it to us thinking, not just
about the answer but the way to find it and this is very good for
having the brain "on shape".
Thank you very much for your time giving this answers.