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Integral of a Quadratic Reciprocal
For:
$$4ac-b^2>0$$
$$\int\frac{dx}{ax^2+bx+c}=\frac{2}{\sqrt{4ac-b^2}}\tan^{-1}\left(\frac{2ax+b}{\sqrt{4ac-b^2}}\right)+C$$
Usage
- Used when a quadratic denominator has no real roots.
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Integral of a Quadratic Reciprocal
For:
$$4ac-b^2>0$$
$$\int\frac{dx}{ax^2+bx+c}=\frac{2}{\sqrt{4ac-b^2}}\tan^{-1}\left(\frac{2ax+b}{\sqrt{4ac-b^2}}\right)+C$$
Usage
- Used when a quadratic denominator has no real roots.
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