# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\:x\sqrt{x-2}dx$

Learn how to solve integrals with radicals problems step by step online.

$\begin{matrix}u=x-2 \\ du=dx\end{matrix}$

Learn how to solve integrals with radicals problems step by step online. Calculate the integral int(x*(x-2)^0.5)dx. Solve the integral \int x\sqrt{x-2}dx applying u-substitution. Let u and du be. Rewriting x in terms of u. Substituting u, dx and x in the integral and simplify. Multiplying polynomials \sqrt{u} and u+2.

$\frac{2}{5}\sqrt{\left(x-2\right)^{5}}+\frac{4}{3}\sqrt{\left(x-2\right)^{3}}+C_0$

### Problem Analysis

$\int\:x\sqrt{x-2}dx$

~ 0.52 seconds