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Integral of $$\frac{1}{x\sqrt{x^2-a^2}}$$
For $$a>0$$:
$$\int\frac{dx}{x\sqrt{x^2-a^2}}=\frac{1}{a}\sec^{-1}\left|\frac{x}{a}\right|+C$$
Usage
- Used for standard integrals involving a difference-of-squares radical.
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Integral of $$\frac{1}{x\sqrt{x^2-a^2}}$$
For $$a>0$$:
$$\int\frac{dx}{x\sqrt{x^2-a^2}}=\frac{1}{a}\sec^{-1}\left|\frac{x}{a}\right|+C$$
Usage
- Used for standard integrals involving a difference-of-squares radical.
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