Integral of $$\frac{1}{a^2+x^2}$$

Rarely Tested

Integral of $$\frac{1}{a^2+x^2}$$

For $$a>0$$:

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

Usage

- Used whenever the denominator is a positive sum of squares.

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