## Integral 1/sinx

Indefinite integral integral 1/(sin(x)) dx = -log(cot(x) + csc(x)) + constant Series expansion of the integral at x=0 log(x/2) + x^2/12 + (7 x^4)/1440 + O(x^6) (generalized Puiseux series) Series expansion of the integral at x=-π (-log(x + pi) + i pi + log(2)) – 1/12 (x + pi)^2 – (7 (x + pi)^4)/1440 + O((x + pi)^6) (generalized Puiseux series) Series expansion of the integral at x=π (-log(x – pi) – i pi + log(2)) – 1/12 (x –…