A \( \frac{2 x^{2 n - 1}}{2 n - 1} \)
B \( \frac{2 x^{2 n + 1}}{2 n + 1} \)
C \( \frac{x^{2 n}}{2 n + 1} \)
D \( \frac{x^{2 n}}{2 n - 1} \)
Correct Answer: Option A
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