$\int (x \sqrt{x} + \frac{1}{x^2}) dx$ belirsiz integrali aşağıdakilerden hangisine eşittir?
A) $\frac{2}{5}x^{5/2} - \frac{1}{x} + C$
B) $\frac{2}{5}x^{5/2} + \frac{1}{x} + C$
C) $\frac{3}{2}x^{3/2} - \frac{1}{x} + C$
D) $\frac{1}{2}x^{1/2} + \frac{1}{x} + C$
E) $\frac{2}{3}x^{3/2} - \frac{1}{x^3} + C$