ASKSAGE: Sage Q&A Forum - Latest question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 27 Jan 2018 09:10:05 -0600Difference between integral(csc(x)) and integral(1/sin(x))?https://ask.sagemath.org/question/40806/difference-between-integralcscx-and-integral1sinx/ integral(csc(x),x) gives -log(cot(x) + csc(x)) as expected. integral(1/sin(x),x) gives -1/2*log(cos(x) + 1) + 1/2*log(cos(x) - 1). Evaluation of the second log is problematic because cos(x)-1 < 0 for all x except n*2pi. Choosing the sympy or maxima algorithms makes no difference.
Also (and this is less reliable) if I perform a substitution t=tan(x/2) by hand in the first case I get ln(t), again as expected. But in the second ln(-t). That maybe my fault but I can't see what I did wrong.
Is there any fundamental difference between asking that same question in two different ways?
NickBaileySat, 27 Jan 2018 09:10:05 -0600https://ask.sagemath.org/question/40806/