Appeared in: 2025 (3 sets)
Let $f'(x) = 3 (x^2 + 2x) - \frac{4}{x^3} + 5$, f(1) = 0. Then, f(x) is : (A) $x^3 + 3x^2 + \frac{2}{x^2} + 5x + 11$ (B) $x^3 + 3x^2 + \frac{2}{x^2} + 5x - 11$ (C) $x^3 + 3x^2 - \frac{2}{x^2} + 5x - 11$ (D) $x^3 - 3x^2 - \frac{2}{x^2} + 5x - 11$