Integral Hangs
02-08-2022, 06:56 PM
Post: #4
 parisse Senior Member Posts: 1,313 Joined: Dec 2013
RE: Integral Hangs
Unfortunately there is no simplification algorithm, only heuristics.
This integral is solved on the Prime by expanding the exponentials, resulting in a rational fraction of exp(-x), with a denominator of degree 4.
It misses the fact that it can also be expressed as a rational fraction of exp(-2x) with a denominator of degree 2. If you are not satisfied with the CAS answer (whcih is perfectly correct), you can help the CAS
subst('integrate((1-exp(-2*x))/(1+exp(-4*x)),x)',x=t/2) => p; subst(p,t=2*x)
BTW, it's generally a bad idea to try to simplify blindly the result of an integral.
The CAS golden rule for an optimal human/computer cooperation is: the human is the brain and the calc does the heavy computations.
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 Messages In This Thread Integral Hangs - lrdheat - 02-05-2022, 06:15 PM RE: Integral Hangs - robmio - 02-06-2022, 06:38 AM RE: Integral Hangs - lrdheat - 02-06-2022, 04:33 PM RE: Integral Hangs - parisse - 02-08-2022 06:56 PM RE: Integral Hangs - roadrunner - 02-12-2022, 03:22 PM RE: Integral Hangs - Albert Chan - 02-18-2022, 02:28 PM RE: Integral Hangs - lrdheat - 02-09-2022, 03:34 AM RE: Integral Hangs - lrdheat - 02-09-2022, 04:42 AM RE: Integral Hangs - parisse - 02-10-2022, 07:39 AM RE: Integral Hangs - roadrunner - 02-12-2022, 03:43 PM RE: Integral Hangs - lrdheat - 02-12-2022, 06:05 PM RE: Integral Hangs - parisse - 02-15-2022, 01:40 PM @Bernard re: Xcas - Guenter Schink - 02-15-2022, 08:38 PM RE: Integral Hangs - parisse - 02-16-2022, 04:34 PM RE: Integral Hangs - roadrunner - 02-18-2022, 07:29 PM

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