2secxtanx

2secxtanx

Input
2 sec(x) tan(x)
Alternate form assuming x is real
(4 sin(2 x) cos(x))/(cos(2 x) + 1)^2
Roots
x = pi n, n element Z
Series expansion at x=0
2 x + (5 x^3)/3 + (61 x^5)/60 + O(x^6)
(Taylor series)
Derivative
d/dx(2 sec(x) tan(x)) = -(cos(2 x) – 3) sec^3(x)
Indefinite integral
integral 2 sec(x) tan(x) dx = 2 sec(x) + constant
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