Integral 1/sinx

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)

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