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 – pi)^2 – (7 (x – pi)^4)/1440 + O((x – pi)^6) (generalized Puiseux series) |
| Series expansion of the integral at x=2 π |
| log(1/2 (x – 2 pi)) + 1/12 (x – 2 pi)^2 + (7 (x – 2 pi)^4)/1440 + O((x – 2 pi)^6) (generalized Puiseux series) |