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Integral of a Reciprocal Difference of Squares
For $$a>0$$:
$$\int\frac{dx}{a^2-x^2}=\frac{1}{2a}\ln\left|\frac{a+x}{a-x}\right|+C$$
Usage
- Used for denominators that factor into two distinct linear terms.
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Integral of a Reciprocal Difference of Squares
For $$a>0$$:
$$\int\frac{dx}{a^2-x^2}=\frac{1}{2a}\ln\left|\frac{a+x}{a-x}\right|+C$$
Usage
- Used for denominators that factor into two distinct linear terms.
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