Csc^2x

Csc^2x

Input
csc^2(x)
Alternate form assuming x is real
(4 sin^2(x))/(cos(2 x) – 1)^2
Roots
(no roots exist)
Series expansion at x=0
1/x^2 + 1/3 + x^2/15 + O(x^4)
(Laurent series)
Derivative
d/dx(csc^2(x)) = -2 cot(x) csc^2(x)
Indefinite integral
integral csc^2(x) dx = -cot(x) + constant

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