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\int\frac{4x+2}{x+2}dx

Integral of (4x+2)/(x+2)

Answer

$4x-6\ln\left|x+2\right|+C_0$

Step-by-step explanation

Problem to solve:

$\int\frac{4x+2}{x+2}dx$
1

Divide $4x+2$ by $x+2$

$\left|\begin{matrix}4x & 2 \\ -4x & -8 \\ & -6\end{matrix}\right|\begin{matrix}x+2 \\ 4 \\ \\ \end{matrix}$

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Answer

$4x-6\ln\left|x+2\right|+C_0$

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$\int\frac{4x+2}{x+2}dx$

Main topic:

Integration by substitution

Used formulas:

6. See formulas

Time to solve it:

~ 0.63 seconds