Re: [sage-support] Integral result differ from Wolfram|Alpha

2023-11-13 Thread Oscar Benjamin
On Mon, 13 Nov 2023 at 21:32, Bùi Gia Nghĩa wrote: > > Hi! > I have used Sage Cell Server to integrate the function (ln(x)^2 - 1) / (x * > ln(x)). It should resulted in (ln(x)^2) / 2 - |ln(ln(x))| + C, as noted by my > textbook and Wolfram|Alpha, but instead resulted in 1/2*log(x)^2 - >

Re: [sage-support] Re: Integral result differ from Wolfram|Alpha

2023-11-13 Thread Bùi Gia Nghĩa
Oh that's why! Thank you because that is exactly the problem! On Tue, Nov 14, 2023, 4:54 AM John H Palmieri wrote: > Isn't log(log(x)^2) = 2 * log(log(x))? Is this your concern, or is it the > absolute value? > > On Monday, November 13, 2023 at 1:32:11 PM UTC-8 Bùi Gia Nghĩa wrote: > >> Hi! >>

[sage-support] Re: Integral result differ from Wolfram|Alpha

2023-11-13 Thread John H Palmieri
Isn't log(log(x)^2) = 2 * log(log(x))? Is this your concern, or is it the absolute value? On Monday, November 13, 2023 at 1:32:11 PM UTC-8 Bùi Gia Nghĩa wrote: > Hi! > I have used Sage Cell Server to integrate the function (ln(x)^2 - 1) / (x > * ln(x)). It should resulted in (ln(x)^2) / 2 -

[sage-support] Integral result differ from Wolfram|Alpha

2023-11-13 Thread Bùi Gia Nghĩa
Hi! I have used Sage Cell Server to integrate the function (ln(x)^2 - 1) / (x * ln(x)). It should resulted in (ln(x)^2) / 2 - |ln(ln(x))| + C, as noted by my textbook and Wolfram|Alpha, but instead resulted in 1/2*log(x)^2 - 1/2*log(log(x)^2). (I do notice that SageMath use log(a) to denote