:00000,?>: as result of interval

05032017, 04:57 AM
Post: #6




RE: :00000,?>: as result of interval
Hello,
I did some digging there... The answer: 1/3*(Gamma (1/3, 216)Gamma (1/3))1/3*(Gamma ( 1/3,0)Gamma(1/3)) 5,96393809188E91 Means that the CAS tried to solve the input (int(e^x^3, x, 0, 6)) in 2 different ways. One is symbolic (returned the expression) and the second is numerical (returned the number). It then tried to verify that they matched... However, the calculation of Gamma (1/3, 216) returned as undefined (the reason is that the numbers are so large (10^91) that the numerical algo used to calculate them do not converge. SO, instead of returning a bad approximate value (which the 5,9e91 number is), it returned an error. If you look at the function (e^x^3) between 0 and 6, you will see that its value vary enormously. As a result, all the first part of the integration (if you think of it as a summation of area) is completely lost in the final result. Yes, Prime (and most other calculators) will give you a number as a result, but these number are in lots of way meaningless... This is what the CAS is trying to tell you (in a roundabout way). Now, the fact that in home you get that wiered :00000,.>: is caused by the fact that the home version of integral was not designed to handle such special cases. Cyrille Although I work for the HP calculator group, the views and opinions I post here are my own. I do not speak for HP. 

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Messages In This Thread 
:00000,?>: as result of interval  Beginner  05012017, 05:48 AM
RE: :00000,?>: as result of interval  Tim Wessman  05012017, 04:12 PM
RE: :00000,?>: as result of interval  Beginner  05012017, 07:24 PM
RE: :00000,?>: as result of interval  Tim Wessman  05012017, 09:32 PM
RE: :00000,?>: as result of interval  Beginner  05022017, 03:26 PM
RE: :00000,?>: as result of interval  cyrille de brĂ©bisson  05032017 04:57 AM
RE: :00000,?>: as result of interval  parisse  05032017, 01:44 PM
RE: :00000,?>: as result of interval  Beginner  05092017, 03:01 PM

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