Correct Answer: Option C

Explanation

\(\int(2x + 1)^3 dx\)

Using substitution method, Let \(u = 2x + 1\)

\(\frac{du}{dx}=2==>du=2dx==>dx=\frac{du}{2}\)

=\(\int\frac{u^3}{2} du = \frac{1}{2}\int u^3 du\)

=\(\frac{1}{2}(\frac{u^4}{4})=\frac{u^4}{8}\)

\(\therefore\frac{1}{8} (2x + 1)^4 + k\)

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