# Step-by-step Solution

## Integral of $x$

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### Videos

$\frac{1}{2}x^2+C_0$

## Step-by-step explanation

Problem to solve:

$\int xdx$
1

Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

$\frac{1}{2}x^2$
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As the integral that we are solving is an indefinite integral, when we finish we must add the constant of integration

$\frac{1}{2}x^2+C_0$

$\frac{1}{2}x^2+C_0$

### Problem Analysis

$\int xdx$

Basic Integrals

~ 0.03 seconds