Timeline for Integration shows different result after manual u-substitution
Current License: CC BY-SA 4.0
6 events
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| Feb 10, 2022 at 22:14 | comment | added | Mistergrave | That makes sense. Thanks a lot for the helpful answer. I'm gonna look into it! | |
| Feb 10, 2022 at 22:12 | vote | accept | Mistergrave | ||
| Feb 10, 2022 at 21:52 | comment | added | Michael Seifert |
@MichaelE2: Hmm, that makes sense. Without the Reals option, it returns Log[-x] == Log[x] + Log[-y] - Log[y] instead, which is (I think) true so long as x and y are both negative or both positive. I was hoping to get Mathematica to print (x > 0 && y > 0) || (x < 0 && y < 0) as its final answer, but I couldn't cajole it into doing so.
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| Feb 10, 2022 at 21:01 | comment | added | Michael E2 |
I think you get False because there are no real values for which Log[-x] and Log[x] are real-valued. The domain spec. Reals in Reduce means "all constants and function values are also restricted to be real."
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| Feb 10, 2022 at 20:47 | history | edited | Michael Seifert | CC BY-SA 4.0 |
added 399 characters in body
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| Feb 10, 2022 at 20:34 | history | answered | Michael Seifert | CC BY-SA 4.0 |