Standard Integral of a Reciprocal Quadratic

Rarely Tested

Standard Integral of a Reciprocal Quadratic

For:

$$a>0$$

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

Usage

- Used when the denominator is a sum of two squares.

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