Question:
The anti-derivative of \( \left( \sqrt{x} + \frac{1}{\sqrt{x}} \right) \) is:
(a) \( \frac{1}{3}x^{1/3} + 2x^{1/2} + C \)
(b) \( \frac{2}{3}x^{2/3} + \frac{1}{2}x^2 + C \)
(c) \( \frac{2}{3}x^{3/2} + 2x^{1/2} + C \)
(d) \( \frac{3}{2}x^{3/2} + \frac{1}{2}x^{1/2} + C \)