Standard Integral with Linear Denominator and Quadratic Radical

Rarely Tested

Standard Integral with Linear Denominator and Quadratic Radical

$$\int\frac{dx}{x\sqrt{x^2-a^2}}=\frac{1}{a}\sec^{-1}\left|\frac{x}{a}\right|+C$$

Usage

- Used for standard integrals involving $$x\sqrt{x^2-a^2}$$ in the denominator.

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