# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\:x\:\left(2x+5\right)^{10}dx$

Learn how to solve calculus problems step by step online.

$\begin{matrix}u=2x+5 \\ du=2dx\end{matrix}$

Learn how to solve calculus problems step by step online. Calculate the integral of int(x*(2*x+5)^10)dx. Solve the integral \int x\left(2x+5\right)^{10}dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Rewriting x in terms of u. Substituting u, dx and x in the integral and simplify.

$\frac{1}{48}\left(2x+5\right)^{12}-\frac{5}{44}\left(2x+5\right)^{11}+C_0$

### Problem Analysis

$\int\:x\:\left(2x+5\right)^{10}dx$

Calculus

~ 0.99 seconds