APFIVE Riemann Sum as a Definite Integral
Which of the following expressions is equal to $$\displaystyle\lim_{n \to \infty} \frac{2}{n} \sum_{k=1}^{n} \ln\left(1 + \frac{2k}{n}\right)$$?
A
$$\displaystyle\int_0^2 \frac{1}{1 + x} \, dx$$
B
$$\displaystyle\int_0^1 \ln(1 + x) \, dx$$
C
$$\displaystyle\int_1^3 \ln(x) \, dx$$
D
$$\displaystyle\int_0^1 \ln(1 + 2x) \, dx$$
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