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Integral of $$\frac{1}{x\sqrt{x^2+a^2}}$$
For $$a>0$$:
$$\int\frac{dx}{x\sqrt{x^2+a^2}}=-\frac{1}{a}\ln\left|\frac{a+\sqrt{x^2+a^2}}{x}\right|+C$$
Usage
- Used for integrals containing a product of $$x$$ and a sum-of-squares radical.
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Integral of $$\frac{1}{x\sqrt{x^2+a^2}}$$
For $$a>0$$:
$$\int\frac{dx}{x\sqrt{x^2+a^2}}=-\frac{1}{a}\ln\left|\frac{a+\sqrt{x^2+a^2}}{x}\right|+C$$
Usage
- Used for integrals containing a product of $$x$$ and a sum-of-squares radical.
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