Integral of a Shifted Difference of Squares

Rarely Tested

Integral of a Shifted Difference of Squares

For $$a>0$$:

$$\int\frac{dx}{a^2-(x-h)^2}=\frac{1}{2a}\ln\left|\frac{a+x-h}{a-x+h}\right|+C$$

Usage

- Used after shifting the variable in a quadratic difference.

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