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Integrate the following: Find integral (4x2 + 4x + 4) dx

Mathematics

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1) Integrate the following

i) Find ∫(4x2+4x+4)dx\int (4x^2 + 4x + 4) dx

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

∫(4x2+4x+4)dx=4x2+12+1+4x1+11+1+4x+C\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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