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\int\frac{x}{\left(x-3\right)^2}dx

Integral of x/((x-3)^2)

Answer

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

Step-by-step explanation

Problem

$\int\frac{x}{\left(x-3\right)^2}dx$
1

Solve the integral $\int\frac{x}{\left(x-3\right)^2}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=x-3 \\ du=dx\end{matrix}$

Unlock this step-by-step solution!

Answer

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

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$\int\frac{x}{\left(x-3\right)^2}dx$

Main topic:

Integration by substitution

Used formulas:

6. See formulas

Time to solve it:

~ 0.75 seconds