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Completing the Square
A quadratic:
$$ax^2+bx+c$$
can be written as:
$$a\left(x+\frac{b}{2a}\right)^2+\frac{4ac-b^2}{4a}$$
Usage
- Used to transform quadratic denominators into standard forms involving inverse trigonometric or logarithmic integrals.
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Completing the Square
A quadratic:
$$ax^2+bx+c$$
can be written as:
$$a\left(x+\frac{b}{2a}\right)^2+\frac{4ac-b^2}{4a}$$
Usage
- Used to transform quadratic denominators into standard forms involving inverse trigonometric or logarithmic integrals.
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