List of Integrals of Rational Functions - Integrands of The Form xm(a X + b)n | Integrands Form xm(a X<> b)n<>

Integrands of The Form xm(a X + b)n

More generally,

$\int\frac{1}{ax + b} \, dx= \begin{cases} \frac{1}{a}\ln\left|ax + b\right| + C^- & x < -b/a \\ \frac{1}{a}\ln\left|ax + b\right| + C^+ & x > -b/a \end{cases}$

(Cavalieri's quadrature formula)

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