Integration of $$\sqrt{a^2-x^2}$$

Rarely Tested

Integration of $$\sqrt{a^2-x^2}$$

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

Usage

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

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