Solve ∫ 2x dx

Step-by-step solution

1. Pull the constant out: $\int 2x \, dx = 2 \int x \, dx$.

2. Apply power rule: $\int x \, dx = \frac{x^2}{2} + C$.

3. Multiply: $2 \cdot \frac{x^2}{2} = x^2$.

4. Add constant: $x^2 + C$.