Aşağıdaki limit ifadesi hangi belirli integrale eşittir?
$\lim_{n \to \infty} \sum_{k=1}^{n} \left( \left( \frac{2k}{n} \right)^2 + 1 \right) \frac{2}{n}$
A) $\int_0^2 (x^2+1) dx$
B) $\int_0^1 (x^2+1) dx$
C) $\int_0^2 (2x^2+1) dx$
D) $\int_0^1 (4x^2+1) dx$
E) $\int_1^3 x^2 dx$