Find the integral of 4x2 + 4x + 4.

1) Integrate the following

i) Find $\int (4x^2 + 4x + 4) dx$

Step 1: Apply the power rule for integration, $\int x^n dx = \frac{x^{n+1}}{n+1} + C$, to each term.

$$\int (4x^2 + 4x + 4) dx = 4\frac{x^{2+1}}{2+1} + 4\frac{x^{1+1}}{1+1} + 4x + C$$

Step 2: Simplify the expression.

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