1/( arccos(x)) - Wolfram|Alpha

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Input

1/(cos^(-1)(x))

Alternate form

-2/(2 sin^(-1)(x) - π)

1/(π/2 + i log(sqrt(1 - x^2) + i x))

Roots

(no roots exist)

Derivative

d/dx(1/(cos^(-1)(x))) = 1/(sqrt(1 - x^2) cos^(-1)(x)^2)

Indefinite integral

integral1/(cos^(-1)(x)) dx = -Si(cos^(-1)(x)) + constant

Global minimum

$min{1/(cos^(-1)(x))} = 1/π at x = -1$

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