Integral of a Square Root of a Quadratic

Integral of a Square Root of a Quadratic

A quadratic radical can often be simplified by completing the square:

$$ax^2+bx+c=a\left[\left(x+\frac{b}{2a}\right)^2-\frac{b^2-4ac}{4a^2}\right]$$

Usage

- Used to transform quadratic radicals into standard forms suitable for substitution.