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Integral of (x-1)/(x(x^2+1))

\int\frac{x-1}{x\cdot \left(x^2+1\right)}dx

Step by step solution

Problem

$\int\frac{x-1}{x\cdot \left(x^2+1\right)}dx$

Show full step-by-step solution

Answer

$-\ln\left|x\right|+arctan\left(x\right)+\frac{1}{2}\ln\left|1+x^2\right|+C_0$

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Problem Stats

Main topic:

Integrals by partial fraction expansion

Used formulas:

4

Time to solve it:

0.36 seconds

Views:

201