2sec^2x

2sec^2x

Input
2 sec^2(x)
Alternate form assuming x is real
(8 cos^2(x))/(cos(2 x) + 1)^2
Roots
(no roots exist)
Series expansion at x=0
2 + 2 x^2 + (4 x^4)/3 + O(x^5)
(Taylor series)
Derivative
d/dx(2 sec^2(x)) = 4 tan(x) sec^2(x)
Indefinite integral
integral 2 sec^2(x) dx = 2 tan(x) + constant

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