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\int\frac{y-2}{y+3}dy

Integral of (y-2)/(y+3)

Answer

$y-5\ln\left|3+y\right|+C_0$

Step-by-step explanation

Problem

$\int\frac{y-2}{y+3}dy$
1

Divide $y-2$ by $3+y$

$\left|\begin{matrix}y & -2 \\ -y & -3 \\ & -5\end{matrix}\right|\begin{matrix}y+3 \\ 1 \\ \\ \end{matrix}$

Unlock this step-by-step solution!

Answer

$y-5\ln\left|3+y\right|+C_0$

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$\int\frac{y-2}{y+3}dy$

Main topic:

Integration by substitution

Used formulas:

6. See formulas

Time to solve it:

~ 0.63 seconds