Integral of a Shifted Sum of Squares
For $$a>0$$:
$$\int\frac{dx}{(x-h)^2+a^2}=\frac{1}{a}\tan^{-1}\left(\frac{x-h}{a}\right)+C$$
Usage
- Used after completing the square when the quadratic denominator is positive.
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CAT Formulas
Indefinite Integration
Integral of a Shifted Sum of Squares
Integral of a Shifted Sum of Squares
For $$a>0$$:
$$\int\frac{dx}{(x-h)^2+a^2}=\frac{1}{a}\tan^{-1}\left(\frac{x-h}{a}\right)+C$$
Usage
- Used after completing the square when the quadratic denominator is positive.
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