# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

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

Choose the solving method

Learn how to solve integrals of polynomial functions problems step by step online.

$\int\left(x+1\right)^2dx+\int1dx$

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int((x+1)^2+1)dx. Expand the integral \int\left(\left(x+1\right)^2+1\right)dx. The integral \int\left(x+1\right)^2dx results in: \frac{u^{3}}{3}. The integral \int1dx results in: x. Gather the results of all integrals.

## Final Answer

$\frac{\left(x+1\right)^{3}}{3}+x+C_0$
$\int\left(x+1\right)^2dx+1$

### Main topic:

Integrals of polynomial functions

### Time to solve it:

~ 0.07 s (SnapXam)