integral 4/cscx dx

Indefinite integral

integral4/csc(x) dx = -4 cos(x) + constant

Plot

Plot
Plot

Alternate form of the integral

-2 e^(-i x) - 2 e^(i x) + constant

Series expansion of the integral at x=0

-4 + 2 x^2 - x^4/6 + O(x^6)
(Taylor series)