Answer
$$\textbf{False}$$
Work Step by Step
$$\int (2x+1)^2dx =\frac{1}{2} \int (2x+1)^2d(2x+1)=\frac{1}{2}\frac{1}{3} (2x+1)^3=\frac{1}{6} (2x+1)^3$$ $$ \ne \frac{1}{3} (2x+1)^3$$
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