Integral of $$\frac{1}{x^2-a^2}$$
For $$a>0$$:
$$\int\frac{dx}{x^2-a^2}=\frac{1}{2a}\ln\left|\frac{x-a}{x+a}\right|+C$$
Usage
- Used when the denominator is a difference of squares in the order $$x^2-a^2$$.
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CAT Formulas
Indefinite Integration
Integral of $$\frac{1}{x^2-a^2}$$
Integral of $$\frac{1}{x^2-a^2}$$
For $$a>0$$:
$$\int\frac{dx}{x^2-a^2}=\frac{1}{2a}\ln\left|\frac{x-a}{x+a}\right|+C$$
Usage
- Used when the denominator is a difference of squares in the order $$x^2-a^2$$.
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