Evaluate the Integral $\int_{1}^{4} \frac{x^{2}+6}{\sqrt{x}} d x$ A) $24.4$ B) $34.4$ C) $39.4$ D) $29.4$

Evaluate the integral. $\int_{1}^{4} \frac{x^{2}+6}{\sqrt{x}} d x$

A) $24.4$
B) $34.4$
C) $39.4$
D) $29.4$
E) $44.4$