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Integral of (6x+2+3x^2)/(3x+2+x^2)

\int\frac{3x^2+6x+2}{x^2+3x+2}dx

Step by step solution

Problem

$\int\frac{3x^2+6x+2}{x^2+3x+2}dx$

Show full step-by-step solution

Answer

$-2\ln\left|2+x\right|-\ln\left|1+x\right|+C_0$

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$\int\frac{3x^2+6x+2}{x^2+3x+2}dx$

Main topic:

Integrals by partial fraction expansion

Used formulas:

2. See formulas

Time to solve it:

0.39 seconds