Integral of Inverse Secant

Rarely Tested

Integral of Inverse Secant

$$\int\sec^{-1}x\,dx=x\sec^{-1}x-\int\frac{1}{|x|\sqrt{x^2-1}}x\,dx$$

Usage

- Used as an integration-by-parts starting form for inverse secant; domain and absolute-value conventions must be handled carefully.

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