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Integral of 1/(x(x-3))

\int\frac{1}{x\cdot \left(x-3\right)}dx

Step by step solution

Problem

$\int\frac{1}{x\cdot \left(x-3\right)}dx$

Show full step-by-step solution

Answer

$\frac{1}{3}\ln\left|x-3\right|-\frac{1}{3}\ln\left|x\right|+C_0$

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$\int\frac{1}{x\cdot \left(x-3\right)}dx$

Main topic:

Integrals by partial fraction expansion

Used formulas:

2. See formulas

Time to solve it:

0.28 seconds