1. The problem is to evaluate the integral $$\int \frac{x^2}{x} \, dx$$. 2. Simplify the integrand by dividing $x^2$ by $x$ which gives $x$. 3. So the integral becomes $$\int x \, dx$$. 4. Use the power rule for integration: $$\int x^n \, dx = \frac{x^{n+1}}{n+1} + C$$ where $n \neq -1$. 5. Here, $n=1$, so $$\int x \, dx = \frac{x^{1+1}}{1+1} + C = \frac{x^2}{2} + C$$. 6. Therefore, the final answer is $$\frac{x^2}{2} + C$$ where $C$ is the constant of integration.