testing ibpdv and ibpu
05-13-2015, 07:18 AM
Post: #8
 salvomic Senior Member Posts: 1,394 Joined: Jan 2015
RE: testing ibpdv and ibpu
(05-12-2015 10:18 PM)Arno K Wrote:  ...
So :simplify(subst('int(sqrt(1-x^2),x,0,1)',x=sin(u))) directly produces nothing but PI/4.
Now I tried int(sqrt(1-x^2),x) to see what the Prime would deliver: the answer is too long to be typed here,containing i and LN aside the first part,
...
I am a bit disappointed...

(05-13-2015 05:14 AM)parisse Wrote:  It should be
assume(u>0); a:=subst('integrate(sqrt(1-x^2),x,0,1)',x=sin(u)); a

thank you Parisse!
iw would be interesting also to have a method to get "step by step" solution, here and for the "integration by parts" functions, but anyway still already this is ok...

Arno,
please, control your CAS Settings: I've in CAS: Exact, "Use √" and Principal checked, Complex not checked (with firmware 6975)
with the integral you should get (½)*ASIN(x)+(½)*x*√(-x^2-1) from 0 to 1, that's π/4 (in Home you gets 0.785398...)

try, and let me know...

Salvo

∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C - DM42, DM41X - WP34s Prime Soft. Lib
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 Messages In This Thread testing ibpdv and ibpu - salvomic - 05-12-2015, 01:57 PM RE: testing ibpdv and ibpu - parisse - 05-12-2015, 02:44 PM RE: testing ibpdv and ibpu - salvomic - 05-12-2015, 02:45 PM RE: testing ibpdv and ibpu - Aries - 05-12-2015, 07:45 PM RE: testing ibpdv and ibpu - salvomic - 05-12-2015, 07:59 PM RE: testing ibpdv and ibpu - parisse - 05-13-2015, 05:14 AM RE: testing ibpdv and ibpu - salvomic - 05-13-2015 07:18 AM RE: testing ibpdv and ibpu - Arno K - 05-12-2015, 10:18 PM RE: testing ibpdv and ibpu - Arno K - 05-13-2015, 07:34 AM RE: testing ibpdv and ibpu - salvomic - 05-13-2015, 07:57 AM RE: testing ibpdv and ibpu - Arno K - 05-13-2015, 08:16 AM RE: testing ibpdv and ibpu - salvomic - 05-13-2015, 08:33 AM RE: testing ibpdv and ibpu - Arno K - 05-13-2015, 08:52 AM RE: testing ibpdv and ibpu - salvomic - 05-13-2015, 08:57 AM RE: testing ibpdv and ibpu - Arno K - 05-13-2015, 09:32 AM RE: testing ibpdv and ibpu - salvomic - 05-13-2015, 09:43 AM RE: testing ibpdv and ibpu - parisse - 05-13-2015, 02:43 PM RE: testing ibpdv and ibpu - Arno K - 05-13-2015, 05:22 PM

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