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Integral of a Reciprocal Square-Root Difference
For $$a>0$$:
$$\int\frac{dx}{\sqrt{x^2-a^2}}=\ln|x+\sqrt{x^2-a^2}|+C$$
Usage
- Used for standard radicals of the form $$\sqrt{x^2-a^2}$$.
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Integral of a Reciprocal Square-Root Difference
For $$a>0$$:
$$\int\frac{dx}{\sqrt{x^2-a^2}}=\ln|x+\sqrt{x^2-a^2}|+C$$
Usage
- Used for standard radicals of the form $$\sqrt{x^2-a^2}$$.
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