Timeline for How to get a universal answer using Integrate
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 27, 2018 at 7:11 | vote | accept | Charles6 | ||
| May 27, 2018 at 3:11 | comment | added | Nasser | ... Still, for most cases, Mathematica's assumptions work very well. It can be very useful. I do not think I could use a CAS that does not support assumptions for example, that would be too limited. | |
| May 27, 2018 at 3:09 | comment | added | Nasser |
@HC6 Yes, one needs to be careful I think when using such assumptions. I once spend hrs on a HW problem, because I was using result obtain from M that Assuming[Element[n, Integers] && n > 0, Integrate[Cos[x]* Sin[x]^2*Cos[n*x], {x, 0, 2 Pi}]] is zero. But it is not zero for all n. I posted this at sci.math.symbolic and it generated lots of discussion. Some CAS system do not even support assumptions. FriCAS for example. My advice, is to always double check CAS result using some other means. Nothing is perfect.
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| May 27, 2018 at 2:44 | comment | added | Charles6 | So, we can't totally trust Mathematica. Because in some cases, we may be not aware of the existence of specific simplifications and Mathematica ignores them as well. | |
| May 26, 2018 at 11:37 | history | edited | Nasser | CC BY-SA 4.0 |
added more stuff
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| May 26, 2018 at 11:05 | history | edited | Nasser | CC BY-SA 4.0 |
added 346 characters in body
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| May 26, 2018 at 10:59 | history | answered | Nasser | CC BY-SA 4.0 |