Standard Integral of a Quadratic Denominator

Rarely Tested

Standard Integral of a Quadratic Denominator

For:

$$a>0$$

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

Usage

- Used for integrals containing the square root of a difference of squares.

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