Solve ∫ (x + 2) dx

Problem

$\int (x + 2) \, dx$

Step-by-step solution

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

Answer

$\frac{x^2}{2} + 2x + C$

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