Integral of a Reciprocal Sum of Squares
For $$a>0$$:
$$\int\frac{dx}{x^2+a^2}=\frac{1}{a}\tan^{-1}\left(\frac{x}{a}\right)+C$$
Usage
- Used whenever the denominator can be reduced to a sum of squares.
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CAT Formulas
Indefinite Integration
Integral of a Reciprocal Sum of Squares
Integral of a Reciprocal Sum of Squares
For $$a>0$$:
$$\int\frac{dx}{x^2+a^2}=\frac{1}{a}\tan^{-1}\left(\frac{x}{a}\right)+C$$
Usage
- Used whenever the denominator can be reduced to a sum of squares.
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