Correct Answer: Option B

Explanation

Recall chain rule: 

u = 2x +1; du = 2dx → dx = \(\frac{du}{2}\)
u\(^3\) = ∫ u\(^3\) \(\frac{du}{2}\) → \(\frac{1}{2}\) ∫ u\(^3\)

=  \(\frac{1*u^4}{2*4}\) 

=  \(\frac{u^4}{8}\) →  \(\frac{{2x+1}^4}{8}\) + C

There is an explanation video available below.

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