# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\left(x+1\right)^2dx+1$

Learn how to solve calculus problems step by step online.

$\frac{\left(x+1\right)^{3}}{3}$

Learn how to solve calculus problems step by step online. Integrate int((x+1)^2)dx+1 with respect to x. The integral \int\left(x+1\right)^2dx results in: \frac{\left(x+1\right)^{3}}{3}. Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration.

$\frac{\left(x+1\right)^{3}}{3}+1+C_0$

### Problem Analysis

$\int\left(x+1\right)^2dx+1$

Calculus

~ 0.04 seconds