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assumptions in integrals' computation in programming mode - robmio - 10-29-2022 11:07 AM
Good morning, if I want to calculate the following integral:
int((t-x)^(-1/2)*ln(x),x,0,t)
it is necessary to make the following assumptions:
assumes(t>0); additionally(t>x).
My question is the following: how can I assign an assumption to a variable in #cas ... #end programming mode?
See attachments
Thanks a lot, Roberto (robmio)
RE: assumptions in integrals' computation in programming mode - Ioncubekh - 10-29-2022 12:43 PM
Code:
assume(t>0 AND t>x)RE: assumptions in integrals' computation in programming mode - robmio - 10-29-2022 01:38 PM
(10-29-2022 12:43 PM)Ioncubekh Wrote:Code:
assume(t>0 AND t>x)
Thank you for the answer, but my question is another: in which area of a program do I put the instruction "assume"? For example, in this "#cas ... #end" program:
#cas
cavolo():=
BEGIN
LOCAL fnz, Fnz;
fnz:=(x)->(t-x)^(-1/2)*LN(x);
Fnz:=(t)->int(fnz(x),x,0,t);
RETURN Fnz(t);
END;
#end
in which zone do I put "assume(...)"?
Putting the "assume()" statement between the "fnz" statement and the "Fnz" statement, I get nothing.
Thanks a lot, robmio
RE: assumptions in integrals' computation in programming mode - robmio - 10-29-2022 02:07 PM
(10-29-2022 12:43 PM)Ioncubekh Wrote:Code:
assume(t>0 AND t>x)
I solved the problem:
#cas
...
Fnz:=(t)->int((t-x)^(-1/2)*ln(x),x,0,assume(t>0 AND t>x));
...
#end
It works!