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Integral of a Quadratic Derivative Pattern
If:
$$Q(x)=ax^2+bx+c$$
then:
$$\int\frac{Q'(x)}{Q(x)}\,dx=\ln|Q(x)|+C$$
Usage
- Used whenever the derivative of a quadratic appears in the numerator.
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Integral of a Quadratic Derivative Pattern
If:
$$Q(x)=ax^2+bx+c$$
then:
$$\int\frac{Q'(x)}{Q(x)}\,dx=\ln|Q(x)|+C$$
Usage
- Used whenever the derivative of a quadratic appears in the numerator.
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