Evaluate the indefinite integral ∫(x−12x)dx\int (\sqrt{x} - \frac{1}{2x}) dx∫(x−2x1)dx for x>0x > 0x>0.
23x3/2−12ln(x)+C\frac{2}{3}x^{3/2} - \frac{1}{2}\ln(x) + C32x3/2−21ln(x)+C
32x1/2−12ln(x)+C\frac{3}{2}x^{1/2} - \frac{1}{2}\ln(x) + C23x1/2−21ln(x)+C
23x3/2−12ln∣x∣+C\frac{2}{3}x^{3/2} - \frac{1}{2}\ln|x| + C32x3/2−21ln∣x∣+C
2x1/2−12ln(x)+C2x^{1/2} - \frac{1}{2}\ln(x) + C2x1/2−21ln(x)+C