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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CAT Formulas
Indefinite Integration
Integral of a Shifted Difference of Squares
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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